Helge Holden

About

Activities:

I am the chair of the prize committee for the Abel Prize for the period 2023–2026. I was the Principal Investigator of the research project ("Toppforsk") Waves and Nonlinear Phenomena (WaNP). I was the Secretary General of the International Mathematical Union (IMU) for the period 2015–2022. On the occasion of my 60th anniversary in 2016 the conference Non-linear PDEs, mathematical physics, and stochastic analysis was hosted here at NTNU. See proceedings Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis, European Mathematical Society Publishing House.

Research areas:

Differential equations, mathematical physics; in particular hyperbolic conservation laws and completely integrable systems. Stochastic analysis and flow in porous media.

Teaching:

Spring 2023: MA8105 Nonlinear PDEs and Sobolov Spaces

Fall 2021: TMA4305 Partial Differential Equations

Publications

2023

Holden, Helge; Phu, Hoang Xuan; Ponce, Gustavo; Vega, Luis. (2023) A Master in Harmony and Differential Equations: A tribute to Carlos E. Kenig on his 70th birthday. Vietnam Journal of Mathematics
Editorial

2022

Holden, Helge. (2022) Faste midlertidige – en gordisk knute. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2022) Hva gjør vi etter krigen i Ukraina? . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2022) Forskningsrådet i fritt fall . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2022) Forskernes hverdag. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2022) Dette skal vi forske på det neste tiåret . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2022) Rangering av forskere. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2022) Matematik og krig. Weekendavisen
Reader opinion piece
Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung. (2022) Strong solutions of a stochastic differential equation with irregular random drift. Stochastic Processes and their Applications
Academic article
Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung. (2022) Global well-posedness of the viscous Camassa–Holm equation with gradient noise. Discrete and Continuous Dynamical Systems. Series A
Academic article
Carrillo, José A.; Holden, Helge; Solem, Susanne. (2022) Noise-driven bifurcations in a neural field system modelling networks of grid cells. Journal of Mathematical Biology
Academic article
Grunert, Katrin; Holden, Helge. (2022) Uniqueness of conservative solutions for the Hunter–Saxton equation. Research in the Mathematical Sciences
Academic article
Grötschel, Martin; Hanche-Olsen, Harald; Holden, Helge; Krystek, Michael P.. (2022) On angular measures in axiomatic Euclidean planar geometry . Measurement Science Review
Academic article

2021

Holden, Helge; Risebro, Nils Henrik. (2021) Mathematical models of traffic flow . SIAM News
Popular scientific article
Coclite, Giuseppe Maria; Holden, Helge; Risebro, Nils Henrik. (2021) Singular diffusion with Neumann boundary conditions. Nonlinearity
Academic article
Holden, Helge. (2021) ``Broken English'' – det internasjonale forskningsspråket. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2021) Styrevalg, omvalg og vanskelige valg. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2021) Hva skal vi forske på det neste tiåret?. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2021) Eikrem-saken – hvordan kunne vi ende der? . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2021) Ved mitt institutt vil to sensorer bety omlag frem ekstra årsverk. www.universitetsavisa.no
Reader opinion piece
Exner, Pavel; Frank, Rupert; Gesztesy, Fritz; Holden, Helge; Weidl, Timo. (2021) Partial Differential Equations, Spectral Theory, and Mathematical Physics. EMS Press
Academic anthology/Conference proceedings
Holden, Helge. (2021) Forskingsrådet i trøbbel. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2021) Hvor lenge skal vi jobbe?. www.universitetsavisa.no
Reader opinion piece
Reigstad, Audun; Grunert, Katrin; Lindqvist, Peter; Holden, Helge. (2021) A Regularized System for the Nonlinear Variational Wave Equation. NTNU
Doctoral dissertation
Holden, Helge; Karlsen, Kenneth Hvistendahl; Pang, Ho Cheung. (2021) The Hunter-Saxton equation with noise. Journal of Differential Equations
Academic article
Holden, Helge; Lohndal, Terje. (2021) Ledere bør ansettes, ikke velges. www.universitetsavisa.no
Reader opinion piece
Grunert, Katrin; Holden, Helge; Jakobsen, Espen Robstad; Stenseth, Nils Christian. (2021) Reply to Best and Ashby: The concept of evolutionarily stable strategies (ESS) helps link ecology and evolution. Proceedings of the National Academy of Sciences of the United States of America
Letter to the editor
Grunert, Katrin; Holden, Helge; Jakobsen, Espen Robstad; Stenseth, Nils Christian. (2021) Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model. Proceedings of the National Academy of Sciences of the United States of America
Academic article

2020

Holden, Helge. (2020) At "tyskervitsen" ble en sak, er problematisk på mange måter. www.universitetsavisa.no
Reader opinion piece
Colombo, Rinaldo M; Holden, Helge; Marcellini, Francesca. (2020) On the microscopic modeling of vehicular traffic on general networks. SIAM Journal on Applied Mathematics
Academic article
Holden, Helge. (2020) ABE-"reformen" - når er det nok?. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2020) Kallelse - ikke gjør det . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2020) NTNUs renommé på spill?. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2020) Hva får vi for forskningspengene?. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2020) The International Mathematical Union. Newsletter of the London Mathematical Society
Popular scientific article
Holden, Helge. (2020) Koronapandemien etter første bølge. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2020) Ytringsfrihet - hvor går grensen? . www.universitetsavisa.no
Reader opinion piece
Galtung, Sondre Tesdal; Holden, Helge; Grunert, Katrin; Raynaud, Xavier. (2020) Discretizations of Wave Equations and Applications of Variational Principles. NTNU
Doctoral dissertation
Antonio Carrillo, José; Grunert, Katrin; Holden, Helge. (2020) A Lipschitz metric for the Camassa-Holm equation. Forum of Mathematics, Sigma
Academic article
Holden, Helge; Lohndal, Terje. (2020) Midlertidighet: Den gode, den dårlige og den kontroversielle. Forskerforum.no
Feature article
Holden, Helge; Lohndal, Terje. (2020) Hva er et fornuftig antall midlertidig ansatte ved universiteter og høyskoler?. Aftenposten (morgenutg. : trykt utg.)
Feature article
Holden, Helge; Lohndal, Terje. (2020) God og dårlig midlertidighet. www.universitetsavisa.no
Feature article

2019

Antonio Carrillo, Jose; Grunert, Katrin; Holden, Helge. (2019) A Lipschitz metric for the Hunter–Saxton equation. Communications in Partial Differential Equations
Academic article
Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas; Møyner, Olav; Raynaud, Xavier; Holden, Helge. (2019) Efficient Solvers for Field-Scale Simulation of Flow and Transport in Porous Media. Norges teknisk-naturvitenskapelige universitet Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
Holden, Helge; Piene, Ragni. (2019) The Abel Prize 2013-2017. Springer Nature Springer Nature
Academic anthology/Conference proceedings
Holden, Helge. (2019) Campussamling til besvær . www.universitetsavisa.no
Reader opinion piece
Borg, Anne; Brattebø, Helge; Bull, Ida; Holden, Helge; Overskaug, Kristian; Thorseth, May Britt. (2019) Internasjonal bærekraftspris er etablert i Trondheim. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece
Holden, Helge. (2019) Midlertidighet er ikke et midlertidig problem. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2019) Hvor skal vi gjøre av bilene? . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2019) Viktig at forskningstiden blir skjermet mest mulig framover . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2019) Ble media misbrukt av aktører i IHS-konflikten?. www.universitetsavisa.no
Reader opinion piece
Holden, Helge; Risebro, Nils Henrik. (2019) Models for dense multilane vehicular traffic. SIAM Journal on Mathematical Analysis
Academic article

2018

Holden, Helge; Risebro, Nils Henrik. (2018) Continuum limit of Follow-the-Leader models – a short proof. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Risebro, Nils Henrik. (2018) Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Networks and Heterogeneous Media
Academic article
Grunert, Katrin; Holden, Helge; Grasmair, Markus. (2018) On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System. Springer Nature
Academic chapter/article/Conference paper
Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia. (2018) An improvement of the Kolmogorov?Riesz compactness theorem. Expositiones mathematicae
Academic article

2017

Holden, Helge. (2017) Forskerne må ta sin del av ansvaret. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece
Holden, Helge. (2017) Tellekanter er ikke så galt. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece
Eckhardt, Jonathan; Gesztesy, Fritz; Holden, Helge; Kostenko, Aleksey; Teschl, Gerald. (2017) Real-Valued Algebro-Geometric Solutions of the Two-Component Camassa–Holm Hierarchy. Annales de l'Institut Fourier
Academic article
Berndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2017) On the index of meromorphic operator-valued functions and some applications. European Mathematical Society (EMS) Publishing House
Academic chapter/article/Conference paper

2016

Møyner, Olav; Holden, Helge; Lie, Knut-Andreas; Natvig, Jostein Roald. (2016) Next Generation Multiscale Methods for Reservoir Simulation. Norges teknisk-naturvitenskapelige universitet Doktoravhandlinger ved NTNU (374)
Doctoral dissertation
Holden, Helge. (2016) Utfordringer ved evaluering av avsluttede ERC-prosjekter. Forskningspolitikk
Reader opinion piece
Rokne, Arnfinn Stendahl; Andersen, Reidar; Holden, Helge. (2016) Vi kan gje formidling av verdsklasse. Adresseavisen
Feature article
Holden, Helge. (2016) Burgers meets Braess. Oberwolfach Reports
Abstract
Grunert, Katrin; Holden, Helge. (2016) The general peakon-antipeakon solution for the Camassa-Holm equation. Journal of Hyperbolic Differential Equations
Academic article
Holden, Helge; Holden, Lars. (2016) Oljefondet kan spare penger. Dagens næringsliv
Reader opinion piece
Hanche-Olsen, Harald; Holden, Helge. (2016) Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394]. Expositiones mathematicae
Academic article
Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2016) Erratum to: On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions. Integral equations and operator theory
Academic article
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2016) Dirichlet-to-Neumann maps, abstract Weyl–Titchmarsh M-functions, and a generalized index of unbounded meromorphic operator-valued functions. Journal of Differential Equations
Academic article
Holden, Helge. (2016) Ansatt og ansvarlig ledelse. Dagens næringsliv
Reader opinion piece
Busterud, Guro; Eide, Kristin Melum; Foss, Bjarne Anton; Holden, Helge. (2016) Ja takk til ansatt rektor!. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece
Colombo, Rinaldo; Holden, Helge. (2016) On the Braess Paradox with Nonlinear Dynamics and Control Theory. Journal of Optimization Theory and Applications
Academic article
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2016) Convergence of finite difference schemes for the Benjamin–Ono equation. Numerische Mathematik
Academic article
Colombo, Rinaldo M; Holden, Helge. (2016) Isentropic fluid dynamics in a curved pipe. Zeitschrift für Angewandte Mathematik und Physik
Academic article

2015

Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Forum of Mathematics, Sigma
Academic article
Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2015) Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. IMA Journal of Numerical Analysis
Academic article
Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2015) On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Integral equations and operator theory
Academic article
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2015) Operator splitting for the Benjamin-Ono equation. Journal of Differential Equations
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions. Forum of Mathematics, Sigma
Academic article
Holden, Helge. (2015) Forskning og det uventede. Adresseavisen
Feature article
Holden, Helge; Risebro, Nils Henrik. (2015) Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V. Applied mathematical sciences (152)
Academic monograph

2014

Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Lipschitz metric for the two-component Camassa-Holm system. American Institute of Mathematical Sciences (AIMS) Press
Academic chapter/article/Conference paper
Holden, Helge. (2014) Alle vil støtte et gjennombrudd. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece
Holden, Helge. (2014) Ville Abel fått Abelprisen? Om Abel og prisen hans. Novus Forlag
Popular scientific chapter/article
Holden, Helge. (2014) Styringsmodeller. Morgenbladet
Reader opinion piece
Holden, Helge; Reinhardsen, John Erik. (2014) Matematikk gir økt produktivitet. Dagens næringsliv
Reader opinion piece
Holden, Helge. (2014) Universitetsledere. Morgenbladet
Reader opinion piece
Holden, Helge. (2014) Hvem skal vi gi fast ansettelse?. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece
Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik. (2014) On an inverse problem for scalar conservation laws. Inverse Problems
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Nonlinear Analysis: Real world applications
Academic article
Holden, Helge; Piene, Ragni. (2014) The Abel Prize 2008–2012. Springer Science+Business Media B.V. Springer Science+Business Media B.V.
Academic anthology/Conference proceedings
Chen, Gui-Qiang; Holden, Helge; Karlsen, Kenneth Hvistendahl. (2014) Hyperbolic Conservation Laws and Related Analysis with Applications. Springer Science+Business Media B.V. Springer Proceedings in Mathematics & Statistics (49)
Academic anthology/Conference proceedings

2013

Holden, Helge. (2013) Would Abel have received the Abel Prize? On Niels Henrik Abel and his prize. Årbok - Norges Tekniske Vitenskapsakademi (NTVA)
Popular scientific article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. (2013) Operator splitting for two-dimensional incompressible fluid equations. Mathematics of Computation
Academic article
Holden, Helge; Lubich, Christian; Risebro, Nils Henrik. (2013) Operator splitting for partial differential equations with Burgers nonlinearity. Mathematics of Computation
Academic article
Holden, Helge; Simon, Barry; Teschl, Gerald. (2013) Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday. American Mathematical Society (AMS) Proceedings of Symposia in Pure Mathematics (87)
Academic anthology/Conference proceedings
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) Periodic conservative solutions for the two-component Camassa-Holm system. American Mathematical Society (AMS)
Academic chapter/article/Conference paper
Holden, Helge. (2013) The Camassa-Holm equation.
Website (informational material)
Holden, Helge; Holden, Lars. (2013) Optimal rebalancing of portfolios with transaction costs. Stochastics: An International Journal of Probability and Stochastic Processes
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. (2013) OPERATOR SPLITTING FOR WELL-POSED ACTIVE SCALAR EQUATIONS. SIAM Journal on Mathematical Analysis
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) LIPSCHITZ METRIC FOR THE CAMASSA-HOLM EQUATION ON THE LINE. Discrete and Continuous Dynamical Systems. Series A
Academic article

2012

Gesztesy, Fritz; Goldstein, Jerome; Holden, Helge; Teschl, Gerald. (2012) Abstract wave equations and associated Dirac-type operators. Annali di Matematica Pura ed Applicata
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl. (2012) Nonlinear Partial Differential Equations. The Abel Symposium 2010. Springer Science+Business Media B.V. Abel Symposia (7)
Academic anthology/Conference proceedings
Holden, Helge; Overskaug, Kristian. (2012) Høydepunkter i Skrifter og Forhandlinger. Et utvalg artikler fra perioden 1761 - 2011. Tapir Akademisk Forlag Skrifter (4/11)
Academic anthology/Conference proceedings
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) Global Solutions for the Two-Component Camassa-Holm System. Communications in Partial Differential Equations
Academic article
Holden, Helge; Stubhaug, Arild. (2012) Vitenskapelige skrifter i 250 år. Adresseavisen
Feature article
Holden, Helge; Piene, Ragni. (2012) Matematikkens gave. Aftenposten (morgenutg. : trykt utg.)
Feature article
Holden, Helge. (2012) Noen refleksjoner om søknadsprosessen for SFF. Bladet forskning
Reader opinion piece
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) GLOBAL CONSERVATIVE SOLUTIONS TO THE CAMASSA-HOLM EQUATION FOR INITIAL DATA WITH NONVANISHING ASYMPTOTICS. Discrete and Continuous Dynamical Systems. Series A
Academic article

2011

Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Tao, T. (2011) OPERATOR SPLITTING FOR THE KdV EQUATION. Mathematics of Computation
Academic article
Gesztesy, Fritz; Holden, Helge. (2011) The damped string problem revisited. Journal of Differential Equations
Academic article
Frid, Hermano; Holden, Helge; Karlsen, Kenneth Hvistendahl. (2011) L-infinity SOLUTIONS FOR A MODEL OF NONISOTHERMAL POLYTROPIC GAS FLOW. SIAM Journal on Mathematical Analysis
Academic article
Holden, Helge; Risebro, Nils Henrik. (2011) Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V. Springer Science+Business Media B.V.
Academic monograph
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2011) Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations
Academic article
Holden, Helge; Raynaud, Xavier Marcel. (2011) Global Semigroup of Conservative Solutions of the Nonlinear Variational Wave Equation. Archive for Rational Mechanics and Analysis
Academic article

2010

Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2010) Front tracking for a model of immiscible gas flow with large data. BIT Numerical Mathematics
Academic article
Holden, H; Holden, Lars; Holden, S. (2010) Contract adjustment under uncertainty. Journal of Economic Dynamics and Control
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl. (2010) Nonlinear partial differential equations and hyperbolic wave phenomena. American Mathematical Society (AMS) Contemporary Mathematics (526)
Academic anthology/Conference proceedings
Holden, Helge; Piene, Ragni. (2010) The Abel Prize 2003-2007. The First Five Years. Springer Publishing Company Springer Publishing Company
Academic anthology/Conference proceedings
Holden, Helge; Sarnak, Peter. (2010) A survey of Peter D. Lax's contributions to mathematics. Springer Publishing Company
Academic chapter/article/Conference paper
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2010) Splitting Methods for Partial Differential Equations with Rough Solutions. Analysis and Matlab Programs. European Mathematical Society (EMS) Publishing House European Mathematical Society (EMS) Publishing House
Academic monograph
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng. (2010) Stochastic Partial Differential Equations. A Modeling, White Noise Functional Approach. Springer Science+Business Media B.V. Springer Science+Business Media B.V.
Academic monograph
Coclite, Giuseppe Maria; Holden, Helge. (2010) Ground states of the Schrödinger-Maxwell system with Dirac mass: Existence and asymptotics. Discrete and Continuous Dynamical Systems. Series A
Academic article
Hanche-Olsen, Harald; Holden, Helge. (2010) The Kolmogorov-Riesz compactness theorem. Expositiones mathematicae
Academic article
Bressan, Alberto; Holden, Helge; Raynaud, Xavier. (2010) Lipschitz metric for the Hunter-Saxton equation. Journal des Mathématiques Pures et Appliquées
Academic article
Holden, Helge. (2010) Kollisjonsfare?. Dagens næringsliv
Popular scientific article
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald. (2010) The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy. Discrete and Continuous Dynamical Systems. Series A
Academic article

2009

Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2009) Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases. American Mathematical Society (AMS)
Academic chapter/article/Conference paper
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2009) Convergens of front tracking and the Glimm scheme for a model of the flow of immiscible gases. American Mathematical Society (AMS)
Academic chapter/article/Conference paper
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng. (2009) Stochastic Partial Differential Equations. Springer Universitext (X)
Academic monograph
Holden, Helge; Raynaud, Xavier. (2009) Dissipative solutions for the Camassa-Holm equation. Discrete and Continuous Dynamical Systems. Series A
Academic article
Ehrnstrom, Mats; Holden, Helge; Raynaud, Xavier; Ehrnström, Mats. (2009) Symmetric waves are traveling waves. International Mathematics Research Notices (IMRN)
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Mitrovic, Darko; Panov, Evgueni Yu. (2009) Strong compactness of approximated solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function. Acta Mathematica Scientia
Academic article
Holden, Helge; Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl. (2009) Well-posedness of higher-order Camassa-Holm equations. Journal of Differential Equations
Academic article
Holden, Helge; Karlsen, KH; Risebro, N.H.. (2009) A convergent finite-difference method for a nonlinear variational wave equation. IMA Journal of Numerical Analysis
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Mitrovic, Darko. (2009) Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function. International Journal of Differential Equations
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Mitrovic, D. (2009) Zero diffusion-dispersion-smoothing limits for scalar conservation law with discontinuous flux function. International Journal of Differential Equations
Academic article
Holden, Helge; Risebro, Nils H.; Sande, Hilde. (2009) THE SOLUTION OF THE CAUCHY PROBLEM WITH LARGE DATA FOR A MODEL OF A MIXTURE OF GASES. Journal of Hyperbolic Differential Equations
Academic article

2008

Wiik, Torgeir; Holden, Helge; Hokstad, Ketil. (2008) Modelling of Electromagnetic Fields in Conductive Media and development of a Full Vectorial Contrast Source Inversion Method. NTNU
Masters thesis
Gesztesy, Fritz; Teschl, Gerald; Holden, Helge. (2008) The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. Revista matemática iberoamericana
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria. (2008) Global weak solutions for a shallow water equation. Springer
Academic chapter/article/Conference paper
Raynaud, Xavier; Holden, Helge. (2008) A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation. Springer
Academic chapter/article/Conference paper
Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria; Holden, Helge. (2008) Global weak solutions for a shallow water equation. Springer
Academic chapter/article/Conference paper
Holden, Helge; Gesztesy, Fritz; Michor, Johanna; Teschl, Gerald. (2008) The Ablowitz--Ladik hierarchy revisited. Birkhäuser Verlag
Academic chapter/article/Conference paper
Holden, Helge; Gesztesy, Fritz; Teschl, Gerald; Michor, Johanna. (2008) Soliton Equations and Their Algebro-Geometric Solutions. Volume II. (1+1)-Dimensional Discrete Models. Cambridge University Press Cambridge Studies in Advanced Mathematics (114)
Academic monograph
Holden, Helge; Raynaud, X. (2008) Periodic conservative solutions of the Camassa-Holm equation. Annales de l'Institut Fourier
Academic article
Gesztesy, F; Holden, Helge; Michor, J; Teschl, G. (2008) Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Studies in applied mathematics (Cambridge)
Academic article
Holden, Helge; Raynaud, X. (2008) Global Dissipative Multipeakon Solutions of the Camassa-Holm Equation. Communications in Partial Differential Equations
Academic article
Gesztesy, F; Holden, Helge. (2008) Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Academic article
Holden, Helge; Coclite, Giuseppe Maria. (2008) Erratum to: The Schrödinger-Maxwell system with Dirac mass. Annales de l'Institut Henri Poincare. Analyse non linéar
Errata
Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl; Holden, Helge. (2008) A convergent finite difference method for a variational wave equation. IMA Journal of Numerical Analysis
Academic article
Holden, Helge. (2008) Verdens smarteste mann til Norge. Forskning.no
Feature article
Holden, Helge. (2008) Terence Tao og undervisning av flinke elever. Adresseavisen
Feature article

2007

Holden, Helge; Coclite, Giuseppe M.. (2007) The Schrodinger-Maxwell system with Dirac mass. Annales de l'Institut Henri Poincare. Analyse non linéar
Academic article
Holden, Helge; Gesztesy, Fritz. (2007) Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Academic article
Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the Camassa-Holm equation - a Lagrangian point of view. Communications in Partial Differential Equations
Academic article
Holden, Helge; Raynaud, Xavier. (2007) Global conservative multipeakon solutions of the Camassa-Holm equation. Journal of Hyperbolic Differential Equations
Academic article
Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the generalized hyperelastic-rod wave equation. Journal of Differential Equations
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2007) Convergent difference schemes for the Hunter-Saxton equation. Mathematics of Computation
Academic article
Holden, Helge; Gesztesy, Fritz; Michor, Johanna; Teschl, Gerald. (2007) Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. International Mathematics Research Notices (IMRN)
Academic article
Holden, Helge; Holden, Lars. (2007) Optimal rebalancing of portfolios with transaction costs.
Report
Holden, Helge. (2007) Digitalisering av matematisk litteratur, og Abels samlede spesielt. NB21
Popular scientific article
Holden, Helge. (2007) Informatikk betyr mye, men ikke alt. Bladet forskning
Reader opinion piece

2006

Holden, Helge; Gesztesy, Fritz. (2006) Local conservation laws and the Hamiltonian formalism for the Toda hierarchy revisited. Skrifter
Academic article
Holden, Helge; Raynaud, Xavier. (2006) Convergence of a finite difference scheme for the Camassa-Holm equation. SIAM Journal on Numerical Analysis
Academic article
Holden, Helge. (2006) Om Poincaré, Perelman og kuler. Morgenbladet
Feature article
Holden, Helge; Raynaud, Xavier. (2006) A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria. (2006) Global weak solutions to a generalized hyperelastic-rod wave equation. SIAM Journal on Mathematical Analysis
Academic article

2005

Holden, Helge; Gesztesy, Fritz; Albeverio, Sergio; Høegh-Krohn, Raphael. (2005) Solvable Models in Quantum Mechanics. American Mathematical Society (AMS) American Mathematical Society (AMS)
Academic monograph
Holden, Helge. (2005) On the Camassa-Holm and Hunter-Saxton equations.
Academic chapter/article/Conference paper
Coclite, GM; Holden, Helge. (2005) Stability of solutions of quasilinear parabolic equations. Journal of Mathematical Analysis and Applications
Academic article
Coclite, GM; Holden, Helge; Karlsen, KH. (2005) Wellposedness for a parabolic-elliptic system. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Holden, Lars; Holden, Steinar. (2005) Contract adjustment under uncertainty. CESifo Working Papers
Article in business/trade/industry journal
Holden, Helge. (2005) Matematikkens bidrag til Olje-Norge. Aftenposten (morgenutg. : trykt utg.)
Feature article
Holden, Helge; Gesztesy, Fritz; Geronimo, Jeffrey. (2005) Algebro-geometric solutions of the Baxter-Szego difference equation. Communications in Mathematical Physics
Academic article
Holden, Helge. (2005) Peter D. Lax. Abelprisvinner 2005. Normat
Popular scientific article

2004

Holden, Helge; Gesztesy, Fritz; Cascaval, Radu; Latushkin, Yuri. (2004) Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Journal d'Analyse Mathematique
Academic article

2003

Gesztesy, Fritz; Holden, Helge. (2003) Soliton Equations and Their Algebro-Geometric Solutions Volume I: (1+1)-Dimensional Continuous Models. Cambridge University Press Cambridge University Press
Academic monograph
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Risebro, Nils Henrik. (2003) On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic systems. Electronic Journal of Differential Equations
Academic article
Eilbeck, Chris; Holden, Helge; Enolskii, Victor Z.. (2003) The hyperelliptic zeta-function abd the integrable massive Thirring model. Proceedings Royal Society London A
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2003) On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Electronic Journal of Differential Equations
Academic article
Holden, Helge; Gesztesy, Fritz. (2003) Algebro-geometric solutions of the Camassa-Holm hierarchy. Revista matemática iberoamericana
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2003) On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Electronic Journal of Differential Equations
Academic article

2002

Holden, Helge; Risebro, Nils Henrik. (2002) Front Tracking for Hyperbolic Conservation Laws. Springer Applied mathematical sciences (152)
Academic monograph
Holden, Helge; Risebro, Nils Henrik; Hanche-Olsen, Harald. (2002) The Riemann problem for an elastic string with a linear Hooke's law. Quarterly of Applied Mathematics
Academic article
Holden, Helge; Gesztesy, Fritz. (2002) Dubrovin equations and integrable systems on hyperelliptic curves. Mathematica Scandinavica
Academic article

2000

Gesztesy, Fritz; Holden, Helge; Jost, Jurgen; Paycha, Sylvie; Rockner, Michael; Scarlatti, Sergio. (2000) Stochastic Processes, Physics and Geometry: New Interplays. I. A Volume in Honor of Sergio Albeverio. CMS Conference Proceedings Series (28)
Non-fiction book
Holden, Helge. (2000) Sturm-Liouville operators and Hilbert spaces: A brief introduction. Tapir Akademisk Forlag Tapir Akademisk Forlag
Textbook
Gesztesy, Fritz; Holden, Helge. (2000) A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions.
Academic chapter/article/Conference paper
Gesztesy, Fritz; Holden, Helge; Jost, Jurgen; Paycha, Sylvie; Rockner, Michael; Scarlatti, Sergio. (2000) Stochastic Processes, Physics and Geometry: New Interplays. II. A Volume in Honor of Sergio Albeverio. CMS Conference Proceedings Series (29)
Non-fiction book
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. Computational Geosciences
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. CMS Conference Proceedings Series
Academic article
Gesztesy, Fritz; Holden, Helge. (2000) Darboux-type transformations and hyperelliptic curves. Journal für die Reine und Angewandte Mathematik
Academic article
Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M.. (2000) Borg-type theorems for matrix-valued Schrödinger operators. Journal of Differential Equations
Academic article
Gesztesy, Fritz; Holden, Helge. (2000) The classical boussinesq hierarchy revisited. Skrifter
Academic article
Holden, Helge; Øksendal, Bernt. (2000) A white noise approach to stochastic Neumann boundary-value problems. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications
Academic article

1999

Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. Preprint
Report
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. Preprint
Report
Holden, Helge; Øksendal, Bernt. (1999) A White Noise Approach to Stochastic Differential Equation Driven by Wiener and Poisson Processes.
Academic chapter/article/Conference paper
Holden, Helge; Øksendal, Bernt. (1999) "A white noise approach to stochastic differential equations driven by Wiener and Poisson processes". CRC Press
Academic chapter/article/Conference paper
Holden, Helge; Øksendal, Bernt. (1999) "A white noise approach to stochastic differential equations driven by Wiener and Poisson noises".
Academic chapter/article/Conference paper
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (1999) Operator splitting methods for generalized Korteweg-De Vries equations. Journal of Computational Physics
Academic article
Holden, Helge; Øksendal, Bernt. (1999) A white noise approach to stochastic Neumann boundary value problems. Universitetet i Oslo Universitetet i Oslo (8)
Report
Holdahl, Runar; Holden, Helge; Lie, Knut Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (1999) Operator splitting methods for generalized Korteweg-De Vries equations. Journal of Computational Physics
Academic article
Holden, Helge; Risebro, Nils Henrik. (1999) Riemann problems with a kink. SIAM Journal on Mathematical Analysis
Academic article
Holden, Helge; Lie, Knut-Andreas; Risebro, N.H.. (1999) An Unconditionally Stable Method for the Euler Equations. Journal of Computational Physics
Academic article
Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) An unconditionally stable method for the Euler equations. Journal of Computational Physics
Academic article
Holdahl, Runar; Holden, Helge; Lie, Knut-Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics
Academic article
Karlsen, Kenneth Hvistendahl; Holden, Helge; Risebro, Nils Henrik. (1999) Operator splitting for generalized KdV equations. Journal of Computational Physics
Academic article

1998

Bulla, W.; Gesztesy, F.; Holden, Helge; Teschl, G.. (1998) Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies. American Mathematical Society
Non-fiction book
Bratvedt, Kyrre; Bølviken, Erik; Gimse, Tore; Holden, Helge; Holden, Lars; Knarud, Ragnar. (1998) Comment on Special Issue on Geostatistics with Guest Editor A. G. Journel. Mathematical Geology
Letter to the editor

1997

Holden, Helge. (1997) Buckley-Leverett equation.
Academic chapter/article/Conference paper
Holden, Helge; Risebro, N.H.. (1997) Conservation laws with a random source. Applied Mathematics and Optimization
Academic article

1996

Hemmer, P.C.; Holden, Helge; Kjelstrup, Signe. (1996) The collected works of Lars Onsager : (with commentary). World Scientific Publ.
Non-fiction book
Holden, Helge; Øksendahl, Bernt; Ubøe, Jan; Zhang, Tusheng. (1996) Stochastic partial differential equations : a modeling, white noise functional approach. Birkh@æuser
Non-fiction book

1995

Gjerde, Jon; Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tu Shen. (1995) An equation modeling transport of a substance in a stochastic medium. Ukjent
Academic article
Holden, Helge; Risebro, Nils Henrik; Tveito, Aslak. (1995) Maximum principles for a class of conservation laws. SIAM Journal on Applied Mathematics
Academic article

1994

Holden, Helge. (1994) En trafikkmodell.
Academic chapter/article/Conference paper
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Gimse, Tore; Holden, Helge; Holden, Lars. (1994) Three-dimensional reservoir simulation based on front tracking. Kluwer Academic Publishers
Academic chapter/article/Conference paper
Holden, Helge. (1994) The Burgers equation with a noisy force and the stochastic heat equation. Communications in Partial Differential Equations
Academic article

1993

Hemmer, P.C.; Holden, Helge; Kjelstrup, Signe. (1993) The Lars Onsager Symposium : Coupled Transport Processes and Phase Transitions : June 2-4, 1993, Trondheim, Norway. NTVA & 2-1993
Non-fiction book
Ubøe, Jan; Holden, Helge; Lindstrøm, Tom Louis; Øksendal, Bernt; Zhang, Tusheng. (1993) Stochastic boundary value problems. A white noise functional approach. Probability theory and related fields
Academic article
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Gimse, Tore; Holden, Helge; Holden, Lars. (1993) Frontline and frontsim: two full scale, two-phase, black oil reservoir simulators based on front tracking. Surveys on Mathematics for Industry
Academic article

1992

Holden, Helge; Albeverio, Sergio ed.; Fenstad, Jens Erik ed.; Lindstrøm, Tom ed.. (1992) Ideas and methods in mathematical analysis, stochastics and applications. Cambridge University Press Cambridge University Press
Non-fiction book
Holden, Helge; Holden, Lars. (1992) On scalar conservation laws in one-dimension. Cambridge University Press
Academic chapter/article/Conference paper
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Holden, Helge; Holden, Lars; Risebro, Nils Henrik. (1992) A new front-tracking method for reservoir simulation, SPE 19805-PA. SPE Reservoir Evaluation and Engineering
Academic article

1991

Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge. (1991) Solvable models in quantum mechanics. MIR
Non-fiction book
Holden, Helge; Holden, Lars. (1991) Reservoir evaluation by stochastic partial differential equations. NR-notat (SAND/29/91)
Report

1989

Holden, Helge; Holden, Lars. (1989) On the Riemann problem for a prototype of a mixed type conservation law II. Contemporary Mathematics
Academic article

1988

Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1988) First order nonlinear scalar hyperbolic conservation laws in one dimension. Preprint, Matematisk institutt, Universitetet i Oslo (1)
Report
Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1988) A numerical method for first order nonlinear scalar hyperbolic conservation laws in one dimension. Computers and Mathematics with Applications
Academic article

1986

Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1986) A Numerical Method for First Order Nonlinear Scalar Hyperbolic Conservation Laws in one Dimension. Preprint, Matematisk institutt, Universitetet i Oslo (12)
Report

Journal publications

Holden, Helge; Phu, Hoang Xuan; Ponce, Gustavo; Vega, Luis. (2023) A Master in Harmony and Differential Equations: A tribute to Carlos E. Kenig on his 70th birthday. Vietnam Journal of Mathematics
Editorial
Holden, Helge. (2022) Faste midlertidige – en gordisk knute. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2022) Hva gjør vi etter krigen i Ukraina? . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2022) Forskningsrådet i fritt fall . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2022) Forskernes hverdag. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2022) Dette skal vi forske på det neste tiåret . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2022) Rangering av forskere. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2022) Matematik og krig. Weekendavisen
Reader opinion piece
Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung. (2022) Strong solutions of a stochastic differential equation with irregular random drift. Stochastic Processes and their Applications
Academic article
Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung. (2022) Global well-posedness of the viscous Camassa–Holm equation with gradient noise. Discrete and Continuous Dynamical Systems. Series A
Academic article
Carrillo, José A.; Holden, Helge; Solem, Susanne. (2022) Noise-driven bifurcations in a neural field system modelling networks of grid cells. Journal of Mathematical Biology
Academic article
Grunert, Katrin; Holden, Helge. (2022) Uniqueness of conservative solutions for the Hunter–Saxton equation. Research in the Mathematical Sciences
Academic article
Grötschel, Martin; Hanche-Olsen, Harald; Holden, Helge; Krystek, Michael P.. (2022) On angular measures in axiomatic Euclidean planar geometry . Measurement Science Review
Academic article
Holden, Helge; Risebro, Nils Henrik. (2021) Mathematical models of traffic flow . SIAM News
Popular scientific article
Coclite, Giuseppe Maria; Holden, Helge; Risebro, Nils Henrik. (2021) Singular diffusion with Neumann boundary conditions. Nonlinearity
Academic article
Holden, Helge. (2021) ``Broken English'' – det internasjonale forskningsspråket. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2021) Styrevalg, omvalg og vanskelige valg. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2021) Hva skal vi forske på det neste tiåret?. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2021) Eikrem-saken – hvordan kunne vi ende der? . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2021) Ved mitt institutt vil to sensorer bety omlag frem ekstra årsverk. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2021) Forskingsrådet i trøbbel. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2021) Hvor lenge skal vi jobbe?. www.universitetsavisa.no
Reader opinion piece
Holden, Helge; Karlsen, Kenneth Hvistendahl; Pang, Ho Cheung. (2021) The Hunter-Saxton equation with noise. Journal of Differential Equations
Academic article
Holden, Helge; Lohndal, Terje. (2021) Ledere bør ansettes, ikke velges. www.universitetsavisa.no
Reader opinion piece
Grunert, Katrin; Holden, Helge; Jakobsen, Espen Robstad; Stenseth, Nils Christian. (2021) Reply to Best and Ashby: The concept of evolutionarily stable strategies (ESS) helps link ecology and evolution. Proceedings of the National Academy of Sciences of the United States of America
Letter to the editor
Grunert, Katrin; Holden, Helge; Jakobsen, Espen Robstad; Stenseth, Nils Christian. (2021) Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model. Proceedings of the National Academy of Sciences of the United States of America
Academic article
Holden, Helge. (2020) At "tyskervitsen" ble en sak, er problematisk på mange måter. www.universitetsavisa.no
Reader opinion piece
Colombo, Rinaldo M; Holden, Helge; Marcellini, Francesca. (2020) On the microscopic modeling of vehicular traffic on general networks. SIAM Journal on Applied Mathematics
Academic article
Holden, Helge. (2020) ABE-"reformen" - når er det nok?. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2020) Kallelse - ikke gjør det . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2020) NTNUs renommé på spill?. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2020) Hva får vi for forskningspengene?. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2020) The International Mathematical Union. Newsletter of the London Mathematical Society
Popular scientific article
Holden, Helge. (2020) Koronapandemien etter første bølge. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2020) Ytringsfrihet - hvor går grensen? . www.universitetsavisa.no
Reader opinion piece
Antonio Carrillo, José; Grunert, Katrin; Holden, Helge. (2020) A Lipschitz metric for the Camassa-Holm equation. Forum of Mathematics, Sigma
Academic article
Holden, Helge; Lohndal, Terje. (2020) Midlertidighet: Den gode, den dårlige og den kontroversielle. Forskerforum.no
Feature article
Holden, Helge; Lohndal, Terje. (2020) Hva er et fornuftig antall midlertidig ansatte ved universiteter og høyskoler?. Aftenposten (morgenutg. : trykt utg.)
Feature article
Holden, Helge; Lohndal, Terje. (2020) God og dårlig midlertidighet. www.universitetsavisa.no
Feature article
Antonio Carrillo, Jose; Grunert, Katrin; Holden, Helge. (2019) A Lipschitz metric for the Hunter–Saxton equation. Communications in Partial Differential Equations
Academic article
Holden, Helge. (2019) Campussamling til besvær . www.universitetsavisa.no
Reader opinion piece
Borg, Anne; Brattebø, Helge; Bull, Ida; Holden, Helge; Overskaug, Kristian; Thorseth, May Britt. (2019) Internasjonal bærekraftspris er etablert i Trondheim. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece
Holden, Helge. (2019) Midlertidighet er ikke et midlertidig problem. www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2019) Hvor skal vi gjøre av bilene? . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2019) Viktig at forskningstiden blir skjermet mest mulig framover . www.universitetsavisa.no
Reader opinion piece
Holden, Helge. (2019) Ble media misbrukt av aktører i IHS-konflikten?. www.universitetsavisa.no
Reader opinion piece
Holden, Helge; Risebro, Nils Henrik. (2019) Models for dense multilane vehicular traffic. SIAM Journal on Mathematical Analysis
Academic article
Holden, Helge; Risebro, Nils Henrik. (2018) Continuum limit of Follow-the-Leader models – a short proof. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Risebro, Nils Henrik. (2018) Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Networks and Heterogeneous Media
Academic article
Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia. (2018) An improvement of the Kolmogorov?Riesz compactness theorem. Expositiones mathematicae
Academic article
Holden, Helge. (2017) Forskerne må ta sin del av ansvaret. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece
Holden, Helge. (2017) Tellekanter er ikke så galt. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece
Eckhardt, Jonathan; Gesztesy, Fritz; Holden, Helge; Kostenko, Aleksey; Teschl, Gerald. (2017) Real-Valued Algebro-Geometric Solutions of the Two-Component Camassa–Holm Hierarchy. Annales de l'Institut Fourier
Academic article
Holden, Helge. (2016) Utfordringer ved evaluering av avsluttede ERC-prosjekter. Forskningspolitikk
Reader opinion piece
Rokne, Arnfinn Stendahl; Andersen, Reidar; Holden, Helge. (2016) Vi kan gje formidling av verdsklasse. Adresseavisen
Feature article
Holden, Helge. (2016) Burgers meets Braess. Oberwolfach Reports
Abstract
Grunert, Katrin; Holden, Helge. (2016) The general peakon-antipeakon solution for the Camassa-Holm equation. Journal of Hyperbolic Differential Equations
Academic article
Holden, Helge; Holden, Lars. (2016) Oljefondet kan spare penger. Dagens næringsliv
Reader opinion piece
Hanche-Olsen, Harald; Holden, Helge. (2016) Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394]. Expositiones mathematicae
Academic article
Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2016) Erratum to: On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions. Integral equations and operator theory
Academic article
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2016) Dirichlet-to-Neumann maps, abstract Weyl–Titchmarsh M-functions, and a generalized index of unbounded meromorphic operator-valued functions. Journal of Differential Equations
Academic article
Holden, Helge. (2016) Ansatt og ansvarlig ledelse. Dagens næringsliv
Reader opinion piece
Busterud, Guro; Eide, Kristin Melum; Foss, Bjarne Anton; Holden, Helge. (2016) Ja takk til ansatt rektor!. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece
Colombo, Rinaldo; Holden, Helge. (2016) On the Braess Paradox with Nonlinear Dynamics and Control Theory. Journal of Optimization Theory and Applications
Academic article
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2016) Convergence of finite difference schemes for the Benjamin–Ono equation. Numerische Mathematik
Academic article
Colombo, Rinaldo M; Holden, Helge. (2016) Isentropic fluid dynamics in a curved pipe. Zeitschrift für Angewandte Mathematik und Physik
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Forum of Mathematics, Sigma
Academic article
Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2015) Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation. IMA Journal of Numerical Analysis
Academic article
Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2015) On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Integral equations and operator theory
Academic article
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2015) Operator splitting for the Benjamin-Ono equation. Journal of Differential Equations
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions. Forum of Mathematics, Sigma
Academic article
Holden, Helge. (2015) Forskning og det uventede. Adresseavisen
Feature article
Holden, Helge. (2014) Alle vil støtte et gjennombrudd. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece
Holden, Helge. (2014) Styringsmodeller. Morgenbladet
Reader opinion piece
Holden, Helge; Reinhardsen, John Erik. (2014) Matematikk gir økt produktivitet. Dagens næringsliv
Reader opinion piece
Holden, Helge. (2014) Universitetsledere. Morgenbladet
Reader opinion piece
Holden, Helge. (2014) Hvem skal vi gi fast ansettelse?. Aftenposten (morgenutg. : trykt utg.)
Reader opinion piece
Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik. (2014) On an inverse problem for scalar conservation laws. Inverse Problems
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Nonlinear Analysis: Real world applications
Academic article
Holden, Helge. (2013) Would Abel have received the Abel Prize? On Niels Henrik Abel and his prize. Årbok - Norges Tekniske Vitenskapsakademi (NTVA)
Popular scientific article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. (2013) Operator splitting for two-dimensional incompressible fluid equations. Mathematics of Computation
Academic article
Holden, Helge; Lubich, Christian; Risebro, Nils Henrik. (2013) Operator splitting for partial differential equations with Burgers nonlinearity. Mathematics of Computation
Academic article
Holden, Helge; Holden, Lars. (2013) Optimal rebalancing of portfolios with transaction costs. Stochastics: An International Journal of Probability and Stochastic Processes
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. (2013) OPERATOR SPLITTING FOR WELL-POSED ACTIVE SCALAR EQUATIONS. SIAM Journal on Mathematical Analysis
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) LIPSCHITZ METRIC FOR THE CAMASSA-HOLM EQUATION ON THE LINE. Discrete and Continuous Dynamical Systems. Series A
Academic article
Gesztesy, Fritz; Goldstein, Jerome; Holden, Helge; Teschl, Gerald. (2012) Abstract wave equations and associated Dirac-type operators. Annali di Matematica Pura ed Applicata
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) Global Solutions for the Two-Component Camassa-Holm System. Communications in Partial Differential Equations
Academic article
Holden, Helge; Stubhaug, Arild. (2012) Vitenskapelige skrifter i 250 år. Adresseavisen
Feature article
Holden, Helge; Piene, Ragni. (2012) Matematikkens gave. Aftenposten (morgenutg. : trykt utg.)
Feature article
Holden, Helge. (2012) Noen refleksjoner om søknadsprosessen for SFF. Bladet forskning
Reader opinion piece
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) GLOBAL CONSERVATIVE SOLUTIONS TO THE CAMASSA-HOLM EQUATION FOR INITIAL DATA WITH NONVANISHING ASYMPTOTICS. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Tao, T. (2011) OPERATOR SPLITTING FOR THE KdV EQUATION. Mathematics of Computation
Academic article
Gesztesy, Fritz; Holden, Helge. (2011) The damped string problem revisited. Journal of Differential Equations
Academic article
Frid, Hermano; Holden, Helge; Karlsen, Kenneth Hvistendahl. (2011) L-infinity SOLUTIONS FOR A MODEL OF NONISOTHERMAL POLYTROPIC GAS FLOW. SIAM Journal on Mathematical Analysis
Academic article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2011) Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations
Academic article
Holden, Helge; Raynaud, Xavier Marcel. (2011) Global Semigroup of Conservative Solutions of the Nonlinear Variational Wave Equation. Archive for Rational Mechanics and Analysis
Academic article
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2010) Front tracking for a model of immiscible gas flow with large data. BIT Numerical Mathematics
Academic article
Holden, H; Holden, Lars; Holden, S. (2010) Contract adjustment under uncertainty. Journal of Economic Dynamics and Control
Academic article
Coclite, Giuseppe Maria; Holden, Helge. (2010) Ground states of the Schrödinger-Maxwell system with Dirac mass: Existence and asymptotics. Discrete and Continuous Dynamical Systems. Series A
Academic article
Hanche-Olsen, Harald; Holden, Helge. (2010) The Kolmogorov-Riesz compactness theorem. Expositiones mathematicae
Academic article
Bressan, Alberto; Holden, Helge; Raynaud, Xavier. (2010) Lipschitz metric for the Hunter-Saxton equation. Journal des Mathématiques Pures et Appliquées
Academic article
Holden, Helge. (2010) Kollisjonsfare?. Dagens næringsliv
Popular scientific article
Gesztesy, Fritz; Holden, Helge; Michor, Johanna; Teschl, Gerald. (2010) The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Raynaud, Xavier. (2009) Dissipative solutions for the Camassa-Holm equation. Discrete and Continuous Dynamical Systems. Series A
Academic article
Ehrnstrom, Mats; Holden, Helge; Raynaud, Xavier; Ehrnström, Mats. (2009) Symmetric waves are traveling waves. International Mathematics Research Notices (IMRN)
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Mitrovic, Darko; Panov, Evgueni Yu. (2009) Strong compactness of approximated solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function. Acta Mathematica Scientia
Academic article
Holden, Helge; Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl. (2009) Well-posedness of higher-order Camassa-Holm equations. Journal of Differential Equations
Academic article
Holden, Helge; Karlsen, KH; Risebro, N.H.. (2009) A convergent finite-difference method for a nonlinear variational wave equation. IMA Journal of Numerical Analysis
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Mitrovic, Darko. (2009) Zero diffusion-dispersion-smoothing limits for a scalar conservation law with discontinuous flux function. International Journal of Differential Equations
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Mitrovic, D. (2009) Zero diffusion-dispersion-smoothing limits for scalar conservation law with discontinuous flux function. International Journal of Differential Equations
Academic article
Holden, Helge; Risebro, Nils H.; Sande, Hilde. (2009) THE SOLUTION OF THE CAUCHY PROBLEM WITH LARGE DATA FOR A MODEL OF A MIXTURE OF GASES. Journal of Hyperbolic Differential Equations
Academic article
Gesztesy, Fritz; Teschl, Gerald; Holden, Helge. (2008) The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. Revista matemática iberoamericana
Academic article
Holden, Helge; Raynaud, X. (2008) Periodic conservative solutions of the Camassa-Holm equation. Annales de l'Institut Fourier
Academic article
Gesztesy, F; Holden, Helge; Michor, J; Teschl, G. (2008) Local conservation laws and the Hamiltonian formalism for the Ablowitz-Ladik hierarchy. Studies in applied mathematics (Cambridge)
Academic article
Holden, Helge; Raynaud, X. (2008) Global Dissipative Multipeakon Solutions of the Camassa-Holm Equation. Communications in Partial Differential Equations
Academic article
Gesztesy, F; Holden, Helge. (2008) Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Academic article
Holden, Helge; Coclite, Giuseppe Maria. (2008) Erratum to: The Schrödinger-Maxwell system with Dirac mass. Annales de l'Institut Henri Poincare. Analyse non linéar
Errata
Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl; Holden, Helge. (2008) A convergent finite difference method for a variational wave equation. IMA Journal of Numerical Analysis
Academic article
Holden, Helge. (2008) Verdens smarteste mann til Norge. Forskning.no
Feature article
Holden, Helge. (2008) Terence Tao og undervisning av flinke elever. Adresseavisen
Feature article
Holden, Helge; Coclite, Giuseppe M.. (2007) The Schrodinger-Maxwell system with Dirac mass. Annales de l'Institut Henri Poincare. Analyse non linéar
Academic article
Holden, Helge; Gesztesy, Fritz. (2007) Real-valued algebro-geometric solutions of the Camassa-Holm hierarchy. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Academic article
Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the Camassa-Holm equation - a Lagrangian point of view. Communications in Partial Differential Equations
Academic article
Holden, Helge; Raynaud, Xavier. (2007) Global conservative multipeakon solutions of the Camassa-Holm equation. Journal of Hyperbolic Differential Equations
Academic article
Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the generalized hyperelastic-rod wave equation. Journal of Differential Equations
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2007) Convergent difference schemes for the Hunter-Saxton equation. Mathematics of Computation
Academic article
Holden, Helge; Gesztesy, Fritz; Michor, Johanna; Teschl, Gerald. (2007) Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. International Mathematics Research Notices (IMRN)
Academic article
Holden, Helge. (2007) Digitalisering av matematisk litteratur, og Abels samlede spesielt. NB21
Popular scientific article
Holden, Helge. (2007) Informatikk betyr mye, men ikke alt. Bladet forskning
Reader opinion piece
Holden, Helge; Gesztesy, Fritz. (2006) Local conservation laws and the Hamiltonian formalism for the Toda hierarchy revisited. Skrifter
Academic article
Holden, Helge; Raynaud, Xavier. (2006) Convergence of a finite difference scheme for the Camassa-Holm equation. SIAM Journal on Numerical Analysis
Academic article
Holden, Helge. (2006) Om Poincaré, Perelman og kuler. Morgenbladet
Feature article
Holden, Helge; Raynaud, Xavier. (2006) A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria. (2006) Global weak solutions to a generalized hyperelastic-rod wave equation. SIAM Journal on Mathematical Analysis
Academic article
Coclite, GM; Holden, Helge. (2005) Stability of solutions of quasilinear parabolic equations. Journal of Mathematical Analysis and Applications
Academic article
Coclite, GM; Holden, Helge; Karlsen, KH. (2005) Wellposedness for a parabolic-elliptic system. Discrete and Continuous Dynamical Systems. Series A
Academic article
Holden, Helge; Holden, Lars; Holden, Steinar. (2005) Contract adjustment under uncertainty. CESifo Working Papers
Article in business/trade/industry journal
Holden, Helge. (2005) Matematikkens bidrag til Olje-Norge. Aftenposten (morgenutg. : trykt utg.)
Feature article
Holden, Helge; Gesztesy, Fritz; Geronimo, Jeffrey. (2005) Algebro-geometric solutions of the Baxter-Szego difference equation. Communications in Mathematical Physics
Academic article
Holden, Helge. (2005) Peter D. Lax. Abelprisvinner 2005. Normat
Popular scientific article
Holden, Helge; Gesztesy, Fritz; Cascaval, Radu; Latushkin, Yuri. (2004) Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Journal d'Analyse Mathematique
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Risebro, Nils Henrik. (2003) On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic systems. Electronic Journal of Differential Equations
Academic article
Eilbeck, Chris; Holden, Helge; Enolskii, Victor Z.. (2003) The hyperelliptic zeta-function abd the integrable massive Thirring model. Proceedings Royal Society London A
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2003) On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Electronic Journal of Differential Equations
Academic article
Holden, Helge; Gesztesy, Fritz. (2003) Algebro-geometric solutions of the Camassa-Holm hierarchy. Revista matemática iberoamericana
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2003) On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Electronic Journal of Differential Equations
Academic article
Holden, Helge; Risebro, Nils Henrik; Hanche-Olsen, Harald. (2002) The Riemann problem for an elastic string with a linear Hooke's law. Quarterly of Applied Mathematics
Academic article
Holden, Helge; Gesztesy, Fritz. (2002) Dubrovin equations and integrable systems on hyperelliptic curves. Mathematica Scandinavica
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. Computational Geosciences
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. CMS Conference Proceedings Series
Academic article
Gesztesy, Fritz; Holden, Helge. (2000) Darboux-type transformations and hyperelliptic curves. Journal für die Reine und Angewandte Mathematik
Academic article
Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M.. (2000) Borg-type theorems for matrix-valued Schrödinger operators. Journal of Differential Equations
Academic article
Gesztesy, Fritz; Holden, Helge. (2000) The classical boussinesq hierarchy revisited. Skrifter
Academic article
Holden, Helge; Øksendal, Bernt. (2000) A white noise approach to stochastic Neumann boundary-value problems. Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (1999) Operator splitting methods for generalized Korteweg-De Vries equations. Journal of Computational Physics
Academic article
Holdahl, Runar; Holden, Helge; Lie, Knut Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics
Academic article
Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (1999) Operator splitting methods for generalized Korteweg-De Vries equations. Journal of Computational Physics
Academic article
Holden, Helge; Risebro, Nils Henrik. (1999) Riemann problems with a kink. SIAM Journal on Mathematical Analysis
Academic article
Holden, Helge; Lie, Knut-Andreas; Risebro, N.H.. (1999) An Unconditionally Stable Method for the Euler Equations. Journal of Computational Physics
Academic article
Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) An unconditionally stable method for the Euler equations. Journal of Computational Physics
Academic article
Holdahl, Runar; Holden, Helge; Lie, Knut-Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics
Academic article
Karlsen, Kenneth Hvistendahl; Holden, Helge; Risebro, Nils Henrik. (1999) Operator splitting for generalized KdV equations. Journal of Computational Physics
Academic article
Bratvedt, Kyrre; Bølviken, Erik; Gimse, Tore; Holden, Helge; Holden, Lars; Knarud, Ragnar. (1998) Comment on Special Issue on Geostatistics with Guest Editor A. G. Journel. Mathematical Geology
Letter to the editor
Holden, Helge; Risebro, N.H.. (1997) Conservation laws with a random source. Applied Mathematics and Optimization
Academic article
Gjerde, Jon; Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tu Shen. (1995) An equation modeling transport of a substance in a stochastic medium. Ukjent
Academic article
Holden, Helge; Risebro, Nils Henrik; Tveito, Aslak. (1995) Maximum principles for a class of conservation laws. SIAM Journal on Applied Mathematics
Academic article
Holden, Helge. (1994) The Burgers equation with a noisy force and the stochastic heat equation. Communications in Partial Differential Equations
Academic article
Ubøe, Jan; Holden, Helge; Lindstrøm, Tom Louis; Øksendal, Bernt; Zhang, Tusheng. (1993) Stochastic boundary value problems. A white noise functional approach. Probability theory and related fields
Academic article
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Gimse, Tore; Holden, Helge; Holden, Lars. (1993) Frontline and frontsim: two full scale, two-phase, black oil reservoir simulators based on front tracking. Surveys on Mathematics for Industry
Academic article
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Holden, Helge; Holden, Lars; Risebro, Nils Henrik. (1992) A new front-tracking method for reservoir simulation, SPE 19805-PA. SPE Reservoir Evaluation and Engineering
Academic article
Holden, Helge; Holden, Lars. (1989) On the Riemann problem for a prototype of a mixed type conservation law II. Contemporary Mathematics
Academic article
Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1988) A numerical method for first order nonlinear scalar hyperbolic conservation laws in one dimension. Computers and Mathematics with Applications
Academic article

Books

Exner, Pavel; Frank, Rupert; Gesztesy, Fritz; Holden, Helge; Weidl, Timo. (2021) Partial Differential Equations, Spectral Theory, and Mathematical Physics. EMS Press
Academic anthology/Conference proceedings
Holden, Helge; Piene, Ragni. (2019) The Abel Prize 2013-2017. Springer Nature Springer Nature
Academic anthology/Conference proceedings
Holden, Helge; Risebro, Nils Henrik. (2015) Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V. Applied mathematical sciences (152)
Academic monograph
Holden, Helge; Piene, Ragni. (2014) The Abel Prize 2008–2012. Springer Science+Business Media B.V. Springer Science+Business Media B.V.
Academic anthology/Conference proceedings
Chen, Gui-Qiang; Holden, Helge; Karlsen, Kenneth Hvistendahl. (2014) Hyperbolic Conservation Laws and Related Analysis with Applications. Springer Science+Business Media B.V. Springer Proceedings in Mathematics & Statistics (49)
Academic anthology/Conference proceedings
Holden, Helge; Simon, Barry; Teschl, Gerald. (2013) Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday. American Mathematical Society (AMS) Proceedings of Symposia in Pure Mathematics (87)
Academic anthology/Conference proceedings
Holden, Helge; Karlsen, Kenneth Hvistendahl. (2012) Nonlinear Partial Differential Equations. The Abel Symposium 2010. Springer Science+Business Media B.V. Abel Symposia (7)
Academic anthology/Conference proceedings
Holden, Helge; Overskaug, Kristian. (2012) Høydepunkter i Skrifter og Forhandlinger. Et utvalg artikler fra perioden 1761 - 2011. Tapir Akademisk Forlag Skrifter (4/11)
Academic anthology/Conference proceedings
Holden, Helge; Risebro, Nils Henrik. (2011) Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V. Springer Science+Business Media B.V.
Academic monograph
Holden, Helge; Karlsen, Kenneth Hvistendahl. (2010) Nonlinear partial differential equations and hyperbolic wave phenomena. American Mathematical Society (AMS) Contemporary Mathematics (526)
Academic anthology/Conference proceedings
Holden, Helge; Piene, Ragni. (2010) The Abel Prize 2003-2007. The First Five Years. Springer Publishing Company Springer Publishing Company
Academic anthology/Conference proceedings
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2010) Splitting Methods for Partial Differential Equations with Rough Solutions. Analysis and Matlab Programs. European Mathematical Society (EMS) Publishing House European Mathematical Society (EMS) Publishing House
Academic monograph
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng. (2010) Stochastic Partial Differential Equations. A Modeling, White Noise Functional Approach. Springer Science+Business Media B.V. Springer Science+Business Media B.V.
Academic monograph
Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng. (2009) Stochastic Partial Differential Equations. Springer Universitext (X)
Academic monograph
Holden, Helge; Gesztesy, Fritz; Teschl, Gerald; Michor, Johanna. (2008) Soliton Equations and Their Algebro-Geometric Solutions. Volume II. (1+1)-Dimensional Discrete Models. Cambridge University Press Cambridge Studies in Advanced Mathematics (114)
Academic monograph
Holden, Helge; Gesztesy, Fritz; Albeverio, Sergio; Høegh-Krohn, Raphael. (2005) Solvable Models in Quantum Mechanics. American Mathematical Society (AMS) American Mathematical Society (AMS)
Academic monograph
Gesztesy, Fritz; Holden, Helge. (2003) Soliton Equations and Their Algebro-Geometric Solutions Volume I: (1+1)-Dimensional Continuous Models. Cambridge University Press Cambridge University Press
Academic monograph
Holden, Helge; Risebro, Nils Henrik. (2002) Front Tracking for Hyperbolic Conservation Laws. Springer Applied mathematical sciences (152)
Academic monograph
Gesztesy, Fritz; Holden, Helge; Jost, Jurgen; Paycha, Sylvie; Rockner, Michael; Scarlatti, Sergio. (2000) Stochastic Processes, Physics and Geometry: New Interplays. I. A Volume in Honor of Sergio Albeverio. CMS Conference Proceedings Series (28)
Non-fiction book
Holden, Helge. (2000) Sturm-Liouville operators and Hilbert spaces: A brief introduction. Tapir Akademisk Forlag Tapir Akademisk Forlag
Textbook
Gesztesy, Fritz; Holden, Helge; Jost, Jurgen; Paycha, Sylvie; Rockner, Michael; Scarlatti, Sergio. (2000) Stochastic Processes, Physics and Geometry: New Interplays. II. A Volume in Honor of Sergio Albeverio. CMS Conference Proceedings Series (29)
Non-fiction book
Bulla, W.; Gesztesy, F.; Holden, Helge; Teschl, G.. (1998) Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies. American Mathematical Society
Non-fiction book
Hemmer, P.C.; Holden, Helge; Kjelstrup, Signe. (1996) The collected works of Lars Onsager : (with commentary). World Scientific Publ.
Non-fiction book
Holden, Helge; Øksendahl, Bernt; Ubøe, Jan; Zhang, Tusheng. (1996) Stochastic partial differential equations : a modeling, white noise functional approach. Birkh@æuser
Non-fiction book
Hemmer, P.C.; Holden, Helge; Kjelstrup, Signe. (1993) The Lars Onsager Symposium : Coupled Transport Processes and Phase Transitions : June 2-4, 1993, Trondheim, Norway. NTVA & 2-1993
Non-fiction book
Holden, Helge; Albeverio, Sergio ed.; Fenstad, Jens Erik ed.; Lindstrøm, Tom ed.. (1992) Ideas and methods in mathematical analysis, stochastics and applications. Cambridge University Press Cambridge University Press
Non-fiction book
Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge. (1991) Solvable models in quantum mechanics. MIR
Non-fiction book

Part of book/report

Grunert, Katrin; Holden, Helge; Grasmair, Markus. (2018) On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System. Springer Nature
Academic chapter/article/Conference paper
Berndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2017) On the index of meromorphic operator-valued functions and some applications. European Mathematical Society (EMS) Publishing House
Academic chapter/article/Conference paper
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Lipschitz metric for the two-component Camassa-Holm system. American Institute of Mathematical Sciences (AIMS) Press
Academic chapter/article/Conference paper
Holden, Helge. (2014) Ville Abel fått Abelprisen? Om Abel og prisen hans. Novus Forlag
Popular scientific chapter/article
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) Periodic conservative solutions for the two-component Camassa-Holm system. American Mathematical Society (AMS)
Academic chapter/article/Conference paper
Holden, Helge; Sarnak, Peter. (2010) A survey of Peter D. Lax's contributions to mathematics. Springer Publishing Company
Academic chapter/article/Conference paper
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2009) Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases. American Mathematical Society (AMS)
Academic chapter/article/Conference paper
Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2009) Convergens of front tracking and the Glimm scheme for a model of the flow of immiscible gases. American Mathematical Society (AMS)
Academic chapter/article/Conference paper
Holden, Helge; Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria. (2008) Global weak solutions for a shallow water equation. Springer
Academic chapter/article/Conference paper
Raynaud, Xavier; Holden, Helge. (2008) A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation. Springer
Academic chapter/article/Conference paper
Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria; Holden, Helge. (2008) Global weak solutions for a shallow water equation. Springer
Academic chapter/article/Conference paper
Holden, Helge; Gesztesy, Fritz; Michor, Johanna; Teschl, Gerald. (2008) The Ablowitz--Ladik hierarchy revisited. Birkhäuser Verlag
Academic chapter/article/Conference paper
Holden, Helge. (2005) On the Camassa-Holm and Hunter-Saxton equations.
Academic chapter/article/Conference paper
Gesztesy, Fritz; Holden, Helge. (2000) A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions.
Academic chapter/article/Conference paper
Holden, Helge; Øksendal, Bernt. (1999) A White Noise Approach to Stochastic Differential Equation Driven by Wiener and Poisson Processes.
Academic chapter/article/Conference paper
Holden, Helge; Øksendal, Bernt. (1999) "A white noise approach to stochastic differential equations driven by Wiener and Poisson processes". CRC Press
Academic chapter/article/Conference paper
Holden, Helge; Øksendal, Bernt. (1999) "A white noise approach to stochastic differential equations driven by Wiener and Poisson noises".
Academic chapter/article/Conference paper
Holden, Helge. (1997) Buckley-Leverett equation.
Academic chapter/article/Conference paper
Holden, Helge. (1994) En trafikkmodell.
Academic chapter/article/Conference paper
Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Gimse, Tore; Holden, Helge; Holden, Lars. (1994) Three-dimensional reservoir simulation based on front tracking. Kluwer Academic Publishers
Academic chapter/article/Conference paper
Holden, Helge; Holden, Lars. (1992) On scalar conservation laws in one-dimension. Cambridge University Press
Academic chapter/article/Conference paper

Report

Reigstad, Audun; Grunert, Katrin; Lindqvist, Peter; Holden, Helge. (2021) A Regularized System for the Nonlinear Variational Wave Equation. NTNU
Doctoral dissertation
Galtung, Sondre Tesdal; Holden, Helge; Grunert, Katrin; Raynaud, Xavier. (2020) Discretizations of Wave Equations and Applications of Variational Principles. NTNU
Doctoral dissertation
Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas; Møyner, Olav; Raynaud, Xavier; Holden, Helge. (2019) Efficient Solvers for Field-Scale Simulation of Flow and Transport in Porous Media. Norges teknisk-naturvitenskapelige universitet Norges teknisk-naturvitenskapelige universitet
Doctoral dissertation
Møyner, Olav; Holden, Helge; Lie, Knut-Andreas; Natvig, Jostein Roald. (2016) Next Generation Multiscale Methods for Reservoir Simulation. Norges teknisk-naturvitenskapelige universitet Doktoravhandlinger ved NTNU (374)
Doctoral dissertation
Wiik, Torgeir; Holden, Helge; Hokstad, Ketil. (2008) Modelling of Electromagnetic Fields in Conductive Media and development of a Full Vectorial Contrast Source Inversion Method. NTNU
Masters thesis
Holden, Helge; Holden, Lars. (2007) Optimal rebalancing of portfolios with transaction costs.
Report
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. Preprint
Report
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. Preprint
Report
Holden, Helge; Øksendal, Bernt. (1999) A white noise approach to stochastic Neumann boundary value problems. Universitetet i Oslo Universitetet i Oslo (8)
Report
Holden, Helge; Holden, Lars. (1991) Reservoir evaluation by stochastic partial differential equations. NR-notat (SAND/29/91)
Report
Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1988) First order nonlinear scalar hyperbolic conservation laws in one dimension. Preprint, Matematisk institutt, Universitetet i Oslo (1)
Report
Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1986) A Numerical Method for First Order Nonlinear Scalar Hyperbolic Conservation Laws in one Dimension. Preprint, Matematisk institutt, Universitetet i Oslo (12)
Report

INFORMASJONSMATR

Holden, Helge. (2013) The Camassa-Holm equation.
Website (informational material)

Teaching

Courses

Media

2022

Academic lecture

Holden, Helge. (2022) A Lipschitz metric for the Camassa--Holm equation. Universitetet i Bergen Second Norwegian PDE meeting , Bergen 2022-06-08 - 2022-06-10
Lecture

Holden, Helge. (2022) Status Report for the International Mathematical Union. IMU ICM 2022 , Helsingfors 2022-07-06 - 2022-07-14
Academic lecture

Holden, Helge. (2022) Two sides of the Camassa--Holm equation: A Lipschitz metric and a noisy version. University of Oxford International PDE Conference , Oxford 2022-07-20 - 2022-07-23
Academic lecture

Holden, Helge. (2022) Mathematical modeling of traffic flow. NTNU Theoretical and computational aspects of dynamical systems , Trysil 2022-12-12 - 2022-12-15

2021

Lecture

Holden, Helge. (2021) Greetings at the IDM from the IMU. Hilsen på den Internasjonale matematikkdagen hilsen , Bangladesh 2021-03-14 - 2021-03-14
Academic lecture

Holden, Helge. (2021) What are the compact sets in Lebesgue spaces?. INdAM konferanseforedrag , Roma 2021-09-09 - 2021-09-09
Academic lecture

Holden, Helge. (2021) Mathematical modeling of traffic flow. Seventh Int.l Conference on Statistics for 21st Century konferanseforedrag , Kerala 2021-12-16 - 2021-12-16
Academic lecture

Holden, Helge. (2021) Mathematical modeling of traffic flow. 8th European Congress of Mathematicians Konferanseforedrag , Portoroz 2021-06-24 -
Academic lecture

Holden, Helge. (2021) Mathematical modeling of traffic flow. University of Tour Konferanseforedrag , Tour 2021-04-20 - 2021-04-20
Academic lecture

Holden, Helge. (2021) Mathematical modeling of traffic flow. Mexican Mathematical Society gjesteforelesning zoom , Mexico City 2021-07-08 - 2021-07-08
Academic lecture

Holden, Helge. (2021) Mathematical modeling of traffic flow. Hong Kong Institute of Advanced Study konferanseforedrag , Hong Kong 2021-01-11 - 2021-01-11

2020

Academic lecture

Holden, Helge. (2020) The Hunter-Saxton equation with noise. Laboratoire Jacques-Louis Lions, Paris Online seminar , Paris 2020-06-26 -
Lecture

Holden, Helge. (2020) About the IMU. Heidelberg Laureate Forum konferanseforedrag , Heidelberg 2020-09-24 - 2020-09-24
Academic lecture

Holden, Helge. (2020) A novel Lipschitz metric for the Camassa-Holm equation. ShanghaiTech University, Shanghai Gjesteforelesning , Shanghai 2020-09-24 - 2020-09-24
Academic lecture

Holden, Helge. (2020) A novel Lipschitz metric for the Camassa-Holm equation. The Indian Institute of Technology, Kanpur gjesteforelesning zoom , Kanpur 2020-10-20 - 2020-10-20
Popular scientific lecture

Holden, Helge. (2020) Lars Onsager (1903–1976). Gløshaugen Akademiske Klubb Gløshaugen Akademiske Klubb , Gløshaugen 2020-02-27 - 2020-02-27
Interview

Holden, Helge; Lohndal, Terje. (2020) NTNU-professorer vil skille mellom god og dårlig midlertidighet. Khrono Khrono [Internet] 2020-01-02

2019

Academic lecture

Holden, Helge. (2019) A novel Lipschitz metric for the Camassa-Holm equation. Universitetet i Bergen Dispersive Waves and Related Topics , Bergen 2019-06-18 - 2019-06-18
Academic lecture

Holden, Helge. (2019) What are the compact sets in Lebesgue spaces?. NTNU konferanseforedrag , Trondheim 2019-06-05 - 2019-06-05
Academic lecture

Holden, Helge. (2019) Mathematical modeling of traffic flow. Hong Kong Polytechnic University invitert foredrag , Hong Kong 2019-01-18 - 2019-01-18
Academic lecture

Holden, Helge. (2019) Operator splitting and convergent schemes for the KdV and Benjamin-Ono equation. Universitet i Oslo konferanseforedrag , Oslo 2019-03-14 - 2019-03-14
Popular scientific lecture

Holden, Helge. (2019) Abelprisen - verdens fremste matematikkpris?. Heimdal Rotary gjesteforelesning , Trondheim 2019-03-25 - 2019-03-25
Academic lecture

Holden, Helge. (2019) Mathematical modeling of traffic flow. Dynamics, Equations and Applications , Krakow 2019-09-10 - 2019-09-15

2018

Academic lecture

Holden, Helge. (2018) The Camassa--Holm equation: A survey. University of Chicago gjesteforelesning , Chicago 2018-10-22 - 2018-10-22
Academic lecture

Holden, Helge. (2018) What are the compact sets in Lebesgue spaces?. Imperial College Seminar , London 2018-02-02 - 2018-02-02
Academic lecture

Holden, Helge. (2018) Traffic modeling and the Braess paradox. University of Maryland gjesteforelesning , Maryland 2018-10-26 - 2018-10-26
Popular scientific lecture

Holden, Helge. (2018) Abelprisen - verdens fremste matematikkpris?. Gløshaugen Akademiske Klubb foredrag , Trondheim 2018-10-18 - 2018-10-18
Popular scientific lecture

Holden, Helge. (2018) Big problems in mathematics: Solved and unsolved. NTNU forelesning , Trondheim 2018-03-07 - 2018-03-07
Lecture

Holden, Helge. (2018) IMU Status Report. International Congress of Mathematicians kongress , Rio de Janeiro 2018-08-01 - 2018-08-10
Academic lecture

Holden, Helge. (2018) What are the compact sets in Lebesgue spaces?. Stockholms universitet konferanse , Stockholm 2018-09-30 - 2018-10-01
Academic lecture

Holden, Helge. (2018) Traffic modeling and the Braess paradox. Lorentz Center konferanse , Leiden 2018-12-03 - 2018-12-06

2017

Popular scientific lecture

Holden, Helge. (2017) On the Abel Prize in Mathematics --- Would Abel have received the Abel Prize?. Universität Wien Junior Kolloquium , Wien 2017-01-11 - 2017-01-11
Academic lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. Universität Wien Mathematisches Kolloquium , Wien 2017-01-11 - 2017-01-11
Academic lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. University of Oxford seminar , Oxford 2017-09-01 - 2017-09-01
Academic lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. Isaac Newton Institute gjesteforelesning , Cambridge 2017-08-16 - 2017-08-16
Academic lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. ISAAC 2017 konferanseforedrag , Växjö 2017-08-18 - 2017-08-18
Academic lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. Otto von Guericke Universität gjesteforelesning , Magdeburg 2017-07-06 - 2017-07-06
Academic lecture

Holden, Helge. (2017) What are the compact sets in Lebesgue spaces?. Baylor University gjesteforelesning , Waco, Texas 2017-10-12 - 2017-10-12
Academic lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. Vietnam Academy of Science and Technology seminar , Hanoi 2017-12-01 - 2017-12-01
Academic lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. NTNU konferanseforedrag , Trondheim 2017-06-30 - 2017-06-30
Programme participation

Holden, Helge. (2017) Heidelberg Laureate Forum. NRK P2 Ekko NRK P2 Ekko [Radio] 2017-03-13
Academic lecture

Holden, Helge. (2017) Traffic modeling and the Braess paradox. IMPA Seminar , Rio de Janeiro 2017-04-27 - 2017-04-27

2016

Programme participation

Holden, Helge; Andersen, Reidar. (2016) Utstillingen "Body Worlds Vital". NRK P1, God morgen Trøndelag NRK P1, God morgen Trøndelag [Radio] 2016-11-16
Lecture

Holden, Helge. (2016) The International Mathematical Union. Royal Spanish Academy of Sciences Jornada Conmemorativa , Madrid 2016-12-19 - 2016-12-19
Academic lecture

Holden, Helge. (2016) Some reflections on the Braess paradox. Institut Mittag-Leffler Seminar , Institut Mittag-Leffler, Stockholm 2016-11-08 - 2016-11-08
Academic lecture

Holden, Helge. (2016) Traffic modeling and the Braess paradox. KTH Seminar , Stockholm 2016-11-23 - 2016-11-23
Academic lecture

Holden, Helge. (2016) The Camassa-Holm equation: A survey. Institut Mittag-Leffler 27th Nordic Congress of Mathematicians , Stockholm 2016-03-17 - 2016-03-17
Academic lecture

Holden, Helge. (2016) Burgers meets Braess. Mathematisches Forschungsinstitut Oberwolfach workshop , Oberwolfach 2016-06-24 - 2016-06-24
Academic lecture

Holden, Helge. (2016) Operator splitting and convergent schemes for the KdV and Benjamin-Ono equation. Kyoto University foredrag , Kyoto 2016-04-01 - 2016-04-01
Academic lecture

Holden, Helge. (2016) The Camassa-Holm equation: A survey. Research Institute for Mathematical Sciences Foredrag , Kyoto 2016-03-31 - 2106-03-31
Academic lecture

Holden, Helge. (2016) Summary of workshop - problems ahead!. Mathematisches Forschungsinstitut Oberwolfach workshop , Oberwolfach 2016-06-24 - 2016-06-24
Programme participation

Holden, Helge. (2016) NTNU fusjon. TV2 Nyhetskanalen TV2 Nyhetskanalen [TV] 2016-01-04
Programme participation

Holden, Helge. (2016) NTNU fusjon. NRK1 Midtnytt NRK1 Midtnytt [TV] 2016-01-04

2015

Academic lecture

Holden, Helge. (2015) Operator splitting and convergent schemes for the KdV and Benjamin-Ono equation. Konferanse , Hanoi 2015-03-20 - 2015-03-20
Popular scientific lecture

Holden, Helge. (2015) Ville Abel fått Abelprisen? Om Abel og prisen hans. Kunnskapsbyen, DKNVS Kunnskapsbyen , Trondheim 2015-02-25 - 2015-02-25
Academic lecture

Holden, Helge. (2015) The Camassa-Holm equation: A survey. Chinese Mathematical Society Konferanse , Beijing 2015-11-22 - 2015-11-22
Academic lecture

Holden, Helge. (2015) The Camassa-Holm equation: A survey. MIT Gjesteforelesning , Cambridge, MA, USA 2015-11-05 - 2015-11-05

2014

Academic lecture

Holden, Helge. (2014) On the initial-value problem for the Camassa-Holm equation. Linköping Universitet gjesteforelesning , Linköping 2014-04-08 - 2014-04-08
Popular scientific lecture

Holden, Helge. (2014) Ville Abel fått Abelprisen? Om Abel og prisen hans. Klubselskabet Harmonien gjesteforelesning , Trondheim 2014-09-04 - 2014-09-04
Programme participation

Holden, Helge. (2014) Why I chose mathematics and advice to Korean students. Seoul, Korea Seoul, Korea [TV] 2014-08-14
Popular scientific lecture

Holden, Helge. (2014) Ville Abel fått Abelprisen? Om Abel og prisen hans. Litteraturhuset, Oslo forelesning , Oslo 2014-04-08 - 2014-04-08
Academic lecture

Holden, Helge. (2014) Operator splitting and convergent schemes for the KdV and Benjamin-Ono equation. ETH, Zurich konferanse , Zurich 2014-09-09 - 2014-09-09
Lecture

Holden, Helge. (2014) What is between conservative and dissipative solutions of the Camassa-Holm equation?. Imperial College gjesteforelesning , London 2014-10-15 - 2014-10-15
Programme participation

Holden, Helge. (2014) Om hipstere. NRK P1, Her og Nå NRK P1, Her og Nå [Radio] 2014-11-06
Academic lecture

Holden, Helge. (2014) What is between conservative and dissipative solutions of the Camassa-Holm equation?. ETH, Zurich gjesteforelesning , Zurich 2014-03-19 - 2014-03-19
Academic lecture

Holden, Helge. (2014) What is between conservative and dissipative solutions of the Camassa-Holm equation?. Università degli Studi di Milano--Bicocca gjesteforelesning , Milano 2014-10-20 - 2014-10-20
Lecture

Holden, Helge. (2014) stein, SAKS, papir. Forskerforbundet gjesteforelesning , Trondheim 2014-12-10 -

2013

Programme participation

Holden, Helge. (2013) Om pi (Internasjonal pi-dag). NRK P1 ("God ettermiddag") NRK P1 ("God ettermiddag") [Radio] 2013-03-14
Popular scientific lecture

Holden, Helge. (2013) Styrearbeid - litt styr og endel innflytelse. Foreningen for studentstyrerepresentanter ved norske UoH presentasjon , Trondheim 2013-09-07 - 2013-09-07
Academic lecture

Holden, Helge. (2013) The Camassa-Holm equation: A survey. University of the Basque Country gjesteforelesning , Bilbao 2013-01-31 - 2013-01-31
Academic lecture

Holden, Helge. (2013) On the nonlinear variational wave equation. Basque Center for Applied Mathematics gjesteforelesning , Bilbao 2013-01-29 - 2013-01-29
Academic lecture

Holden, Helge. (2013) The Camassa-Holm equation: A survey. New York University gjesteforelesning , New York 2013-02-25 - 2013-02-25
Popular scientific lecture

Holden, Helge. (2013) Ville Abel fått Abelprisen? Om Abel og prisen hans. Det Norske Videnskaps-Akademi møte , Oslo 2013-01-25 - 2013-01-25
Academic lecture

Holden, Helge. (2013) What is between conservative and dissipative solutions of the Camassa-Holm equation?. Banff International Research Station konferanse , Banff 2013-06-10 - 2013-06-13
Academic lecture

Holden, Helge. (2013) What is between conservative and dissipative solutions of the Camassa-Holm equation?. Equadiff13 konferanse , Praha 2013-08-26 - 2013-08-26
Popular scientific lecture

Holden, Helge. (2013) Ville Abel fått Abelprisen? Om Abel og prisen hans. Norges Tekniske Vitenskapsakademi forelesning , Trondheim 2013-11-11 - 2013-11-11
Academic lecture

Holden, Helge. (2013) What is between conservative and dissipative solutions of the Camassa-Holm equation?. TU Berlin konferanse , Berlin 2013-11-07 - 2013-11-09

2012

Academic lecture

Holden, Helge. (2012) On the nonlinear variational wave equation. seminar , University of Missouri 2012-02-02 - 2012-02-02
Academic lecture

Holden, Helge. (2012) The Camassa-Holm equation: Past, present, and future. DMV årsmøte , Saarbrücken 2012-09-17 - 2012-09-17
Popular scientific lecture

Holden, Helge. (2012) Big problems in mathematics:Solved and unsolved. Norsk matematisk forening foredrag , NTNU 2012-03-09 - 2012-03-09
Academic lecture

Holden, Helge. (2012) The Camassa-Holm equation: A survey. konferanse , IMPA, Rio de Janeiro 2012-07-30 - 2012-08-02
Programme participation

Holden, Helge. (2012) om matematikk. God morgen Norge God morgen Norge [TV] 2012-05-21
Popular scientific lecture

Holden, Helge. (2012) Big problems in mathematics: Solved and unsolved. kollokvium , Universitetet i Stavanger 2012-11-09 - 2012-11-09
Popular scientific lecture

Holden, Helge. (2012) The first ten years of the Abel Prize. Konsulatet i Houston seminar , Houston 2012-11-16 - 2012-12-16
Academic lecture

Holden, Helge. (2012) The Camassa--Holm equation: A survey. Technische Universität Berlin seminar , Berlin 2012-10-05 - 2012-10-05
Academic lecture

Holden, Helge. (2012) The Camassa-Holm equation: A survey. forelesning , University of Missouri 2012-10-18 - 2012-10-18

2011

Popular scientific lecture

Holden, Helge. (2011) Big problems in mathematics: Solved and unsolved. Universitetet i Bergen kollokvium , Fysisk institutt, UiB 2011-11-04 - 2011-11-04
Academic lecture

Holden, Helge; Raynaud, Xavier. (2011) On the nonlinear variational wave equation. Erwin Schrodinger Institute konferanse , Wien 2011-07-06 - 2011-07-06
Popular scientific lecture

Holden, Helge. (2011) Store problemer i matematikk: Løste og uløste. Forum for kunnskapshistorie foredrag , NTNU 2011-09-29 - 2011-09-29
Academic lecture

Holden, Helge; Raynaud, Xavier. (2011) On the nonlinear wave variational wave equation. University of Oxford gjesteforelesning , Oxford 2011-10-17 - 2011-10-17
Academic lecture

Holden, Helge; Raynaud, Xavier. (2011) On the nonlinear variational wave equation. SISSA konferanse , Trieste 2011-05-20 - 2011-05-20
Academic lecture

Holden, Helge; Raynaud, Xavier. (2011) On the nonlinear variational wave equation. Erwin Schrodinger Institute gjesteforelesning , Wien 2011-05-05 - 2011-05-05

2010

Programme participation

Holden, Helge. (2010) "Verdt å vite". NRK P2 NRK P2 [Radio] 2010-03-18
Academic lecture

Holden, Helge. (2010) Convergence of operator splitting for the KdV equation. Universitetet i Parma konferanse , Parma 2010-02-01 - 2010-02-28
Academic lecture

Holden, Helge. (2010) The next phase of eVITA. Forskningsrådet konferanse , Geilo 2010-01-27 - 2010-01-29

2009

Academic lecture

Holden, Helge. (2009) Conservative and dissipative solutions of the Camassa-Holm equation. Universitetet i Padova faglig foredrag , Padova 2009-02-23 -
Academic lecture

Holden, Helge. (2009) Convergence of operator splitting for the KdV equation. University of Missouri faglig foredrag , Columbia, MO 2009-10-29 -
Academic lecture

Holden, Helge. (2009) Global semigroup for the nonlinear variational wave equation. BIRS faglig foredrag , Banff 2009-10-08 -
Academic lecture

Holden, Helge. (2009) Convergence of operator splitting for the KdV equation. Institute for Mathematics and Its Applications faglig foredrag , Minneapolis 2009-07-25 -
Academic lecture

Holden, Helge. (2009) Convergence of operator splitting for the KdV equation. Uppsala Universitet Seminar , Uppsala 2009-10-12 - 2009-10-12
Popular scientific lecture

Holden, Helge. (2009) Big problems in mathematics: Solved and unsolved. Senter for grunnforskning faglig foredrag , Oslo 2009-02-18 -

2008

Academic lecture

Holden, Helge. (2008) The Camassa-Holm equation: Multipeakons – a survey. Det Norske Videnskaps-Akademi og Royal Society of Edinburgh symposium , Oslo 2008-10-15 - 2008-10-16
Academic lecture

Holden, Helge. (2008) PhD education and graduate schools. Challenges for graduate students and supervisors. Universitetet i Agder workshop/kurs , Grimstad 2008-09-25 - 2008-09-25
Academic lecture

Holden, Helge. (2008) Peter D Lax – A glimpse at his contributions to mathematics. University of Lund Honorary doctorate to Lax , Lund 2008-06-02 - 2008-06-02

2007

Programme participation

Holden, Helge. (2007) Hjemkjøp av Abelmanuskripter. Dagsrevyen NRK1 Dagsrevyen NRK1 [TV] 2007-12-06
Academic lecture

Holden, Helge. (2007) Hyperbolic Conservation Laws. Helsinki Institute of Technology Graduate course , Helsingfors 2007-06-04 - 2007-06-05
Academic lecture

Holden, Helge. (2007) Conservative and dissipative solutions of the Camassa-Holm equation. University of Missouri gjesteforelesning , Columbia 2007-10-04 - 2007-10-04
Academic lecture

Holden, Helge. (2007) Conservative and dissipative solutions of the Camassa-Holm equation. INdAM Nonlinear hyperbolic problems , Roma 2007-05-28 - 2007-06-02

2006

Academic lecture

Holden, Helge. (2006) Peter D Lax - Abel Laureate 2005. Danmarks Tekniske Universitet Colloquium , Kgs Lyngby, Danmark 2006-02-03 - 2006-02-03
Academic lecture

Holden, Helge. (2006) The Abel Prize. With emphasis on Peter Lax. Penn State University gjesteforelesning , State College 2006-03-31 - 2006-03-31
Academic lecture

Holden, Helge. (2006) Peter Lax - Abel Laureate 2005. University of Missouri Colloquium , Columbia, Missouri 2006-03-02 - 2006-03-02
Academic lecture

Holden, Helge. (2006) On the Hunter-Saxton equation. Penn State University gjesteforelesning , State College 2006-03-30 - 2006-03-30
Academic lecture

Holden, Helge. (2006) Industrial mathematics in Norway - some examples. University of Warsaw workshop , Bedlewo 2006-04-26 - 2006-04-28
Academic lecture

Holden, Helge. (2006) Conservative solutions of the Camassa-Holm equation. Banff International Research Station Workshop , Banff 2006-10-30 - 2006-11-03
Academic lecture

Holden, Helge. (2006) The Hunter-Saxton equation. University of Grenada Gjesteforelesning , Granada 2006-06-19 - 2006-06-19
Academic lecture

Holden, Helge; Holden, Lars; Holden, Steinar. (2006) Contract adjustment under uncertainty. European Economic Association & Econometric Society, Vienna, Austria 24-28 august 2006 2006-08-28 -

2005

Programme participation

Holden, Helge. (2005) Abelprisvinneren 2005. Verdt å vite, NRK P2 Verdt å vite, NRK P2 [Radio] 2005-03-17
Programme participation

Holden, Helge. (2005) Peter D. Lax. Eksempler fra hans bidrag til matematikken. Abelprisen; www.abelprisen.no Abelprisen; www.abelprisen.no [Internet] 2005-03-17
Programme participation

Holden, Helge. (2005) Abelprisvinneren 2005. Schrodingers katt, NRK 1 Schrodingers katt, NRK 1 [TV] 2005-03-17
Academic lecture

Holden, Helge. (2005) Numerical approximations of the Camassa-Holm equation. CMA/UiO workshop , UiO 2005-03-04 - 2005-03-04
Academic lecture

Holden, Helge. (2005) On the Hunter-Saxton and Camassa-Holm equations. University of Missouri gjesteforelesning , Columbia, Missouri 2005-03-10 - 2005-03-10
Academic lecture

Holden, Helge. (2005) The Hunter-Saxton equation. KTH gjesteforelesning , Stockholm 2005-11-16 - 2005-11-16
Academic lecture

Holden, Helge. (2005) The Hunter-Saxton equation. SISSA gjesteforelesning , Trieste 2005-10-27 - 2005-10-27
Popular scientific lecture

Holden, Helge. (2005) Peter Lax – Abelprisvinner 2005. Lektorutdanningen i realfag (LUR), NTNU foredrag , NTNU 2005-04-20 - 2005-04-20
Popular scientific lecture

Holden, Helge. (2005) The Abel Laureate 2005. Det Norske Videnskaps-Akademi Annonsering av Abelprisvinneren , Oslo 2005-03-17 - 2005-03-17
Popular scientific lecture

Holden, Helge. (2005) Peter Lax – Abel Laureate 2005. Kungliga Tekniska Høgskolan Kollokvium , KTH, Stockholm 2005-10-12 - 2005-10-12
Popular scientific lecture

Holden, Helge. (2005) Peter Lax – Abelprisvinner 2005. NTNU Studentseminar , NTNU 2005-05-11 - 2005-05-11
Popular scientific lecture

Holden, Helge. (2005) Peter Lax – Abel Laureate 2005. Centre of Mathematics for Applications gjesteforelesning , UiO 2005-05-28 - 2005-05-28
Popular scientific lecture

Holden, Helge. (2005) Peter Lax – Abelprisvinner 2005. Norges forskningsråd BeMatA konferanse , Losby gods 2005-10-25 - 2005-10-25
Popular scientific lecture

Holden, Helge. (2005) Peter Lax – Abel Laureate 2005. IMF, NTNU Kollokvium , NTNU 2005-05-20 - 2005-05-20
Popular scientific lecture

Holden, Helge. (2005) Peter Lax – Abelprisvinner 2005. Norsk matematikkråd årsmøte , Bodø 2005-09-23 - 2005-09-23
Popular scientific lecture

Holden, Helge. (2005) Peter Lax – Abelprisvinner 2005. NTNU Faglig-pedagogisk dag , NTNU 2005-11-25 - 2005-11-25
Popular scientific lecture

Holden, Helge. (2005) Peter Lax – Abelprisvinner 2005. NT-fakultetet/NTNU EXFak-forelesning , NTNU 2005-10-31 - 2005-10-31
Popular scientific lecture

Holden, Helge. (2005) Abelprisvinneren 2005. Norsk matematisk forening foredrag , NTNU 2005-03-17 - 2005-03-17

2004

Academic lecture

Holden, Helge. (2004) On the Camassa-Holm and Hunter-Saxton equations. European Mathematical Society Fourth European Congress of Mathematics , Stockholm 2004-06-27 - 2004-07-02
Academic lecture

Holden, Helge. (2004) On the Hunter-Saxton and Camassa-Holm equations. 4ECM (Fourth European Congress of Mathematics) , Stockholm 2004-06-28 -
Academic lecture

Holden, Helge. (2004) On the Hunter-Saxton-Zheng equation. Ecole Normale Superieure foredrag , Paris 2004-04-15 - 2004-04-15
Academic lecture

Holden, Helge. (2004) Operator Splitting, Fast Methods, and Applications. Penn State University gjesteforelesning , State College, PA 2004-10-29 - 2004-10-29
Academic lecture

Holden, Helge. (2004) Reservoir Simulation: A Small Glimpse. Penn State University gjesteforelesning , State College, PA 2004-10-29 - 2004-10-29
Academic lecture

Holden, Helge; Holden, Lars; Holden, Steinar. (2004) Contract renewal. Seminar i samfunnsøkonomi, Universitetet i Oslo 2004-04-22 -

2001

Academic lecture

Holden, Helge. (2001) The massive Thirring equation and hyperelliptic curves. Lunds Universitet , Lund 2001-09-06 -
Academic lecture

Holden, Helge. (2001) The Camassa-Holm equation and hyperelliptic curves. Integrable Systems , Isaac Newton Institute 2001-11-21 -
Academic lecture

Holden, Helge. (2001) The massive Thirring model and hyperelliptic curves. Kunglige Tekniska Høgskolen, Stockholm , Stockholm 2001-03-14 -

2000

Academic lecture

Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations. I: Convergence and entropy estimates. Conference on Infinite Dimensional (Stochastic) Analysis and Quantum Physics , Leipzig 1999-01-20 -
Academic lecture

Gesztesy, Fritz; Holden, Helge. (2000) The Cole-Hopf and Miura transformations revisited. Mathematical Physics and Stochastic Analysis , Lisboa 1998-10-10 -
Academic lecture

Enolskii, Victor Z.; Gesztesy, Fritz; Holden, Helge. (2000) The classical massive Thirring systeme revisited. Conference on Infinite Dimensional (Stochastic) Analysis and Quantum Physics , Leipzig 1999-01-20 -
Academic lecture

Holden, Helge. (2000) Operatorsplitting for nonlinear partial differential equations. Brown University , Brown University, 19.01.2000
Academic lecture

Holden, Helge; Øksendal, Bernt; Grosser, Michael; H@ørmann, G.; Kunzinger, K.; Oberguggenberger, M.. (2000) A white noise approach to stochastic differential equations driven by Wiener and Poisson processes. Workshop: Nonlinear theory of generalized functions , Vienna, October-December 1997

1999

Academic lecture

Holden, Helge. (1999) Some thoughts based on two reviews. 2nd Meeting of Mide-Term Review Panel, TMR , Brussel
Academic lecture

Holden, Helge. (1999) White noise analysis and the stochastic Burgers eq. Courant inst, New York Univ. , New York
Academic lecture

Holden, Helge. (1999) Darbux Transformations and hyperelliptic curves. The 1999 Inst. Conf. on Diff.Eq. and Math. Phys. , Birmingham, Alabama
Academic lecture

Holden, Helge. (1999) Darboux transformations and hyperelliptic curves. 1999 Int. Conf. on Diff. Eq. and Math. Phys. , Birmingham, Alabama
Academic lecture

Holden, Helge. (1999) Hierarchies of soleton equations and their algebro-geometric solutions. Workshop in mathematical physics , Aalborg Univ., Danmark, 02.09.1999
Academic lecture

Holden, Helge. (1999) Operator splitting for the generalized KdV equation. ICIAM 99 (International Conference. Industrial Appl.Math) , Edinburgh
Academic lecture

Holden, Helge. (1999) Hierarchies of solitar equations and their algebro-geametric solutions. Workshop in Mathematical physics , Aalborg University
Academic lecture

Holden, Helge. (1999) Operator splitting for the generalized KdV equation. Hyberbolic aspects of fluid dynamics , Oberwolfach
Academic lecture

Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) Lie-Kato-Trotter product formulas for nonlinear partial differential equations. Kruzhkov memorial conference , Besancon, Frankrike 1999-06-01 -
Academic lecture

Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) Operator splitting for conservation laws. Godunov 70' conference , Oxford, Storbrittannia 1999-10-01 -

1998

Popular scientific lecture

Holden, Helge. (1998) An unconditionally stable method for conservation laws with applications to gas dynamics and the shallow water equations. Second Euroconference, TMR Network , Trieste
Popular scientific lecture

Holden, Helge. (1998) An introduction to stochastic partial differentila equations. A concentrated Advanced Couse, MaPhySto , København
Academic lecture

Holden, Helge. (1998) Reviewing from the point of the referee. Improving the human research potential , Regensburg
Popular scientific lecture

Holden, Helge. (1998) A local sine-Gordon hierachy and its algebro-geometric solutions. Fellesmøte Norsk matematisk forening og Svenska matematikersamf undet , [Mangler data]

1997

Popular scientific lecture

Holden, Helge. (1997) Conservation laws with a random source. Erin Schr@ødinger Institute , Wien
Popular scientific lecture

Holden, Helge. (1997) The stochastic pressure equation and white noise analysis. , Iowa State University, Ames, Iowa
Popular scientific lecture

Holden, Helge. (1997) The stochastic pressure equation and white noise analysis. , Institutt Mittag-Leffler, Stockholm
Popular scientific lecture

Holden, Helge. (1997) 1+1-dimensional completely integrable systems, originating from hyperelliptic curves, are all isomorphic. , University of Missouri, Columbia
Popular scientific lecture

Holden, Helge. (1997) The Dubrovin equation and integrable systems. International Conference of Differential Equations and Mathemat ical Physics , Atlanta, Ga.
Popular scientific lecture

Holden, Helge. (1997) The stochastic pressure equation and white noise analysis. , North Carolina State University, Raleigh, N.C.

1995

Academic lecture

Holden, Helge; Risebro, Nils Henrik; Martinsen, Torgeir With. (1995) Systems of hyperbolic conservation laws on networks : a model for traffic flow. ICIAM/GAMM 95 , Hamburg
Popular scientific lecture

Holden, Helge. (1995) Reservoir simulation using front tracking. , [Mangler data]

1994

Popular scientific lecture

Holden, Helge. (1994) Traffic flow on a network. , [Mangler data]
Popular scientific lecture

Holden, Helge. (1994) Industri og matematikk - til gjensidig nytte. , [Mangler data]
Popular scientific lecture

Holden, Helge. (1994) Stochastic Buckley-Leverett profiles. , [Mangler data]
Popular scientific lecture

Holden, Helge. (1994) Fundamental mathematical approaches to reservoir simulation : deterministic and stochastic models with examples. 4th European Conference on the Mathematics of Oil Recovery , [Mangler data]

1993

Academic lecture

Holden, Helge. (1993) The industrial mathematics curriculum at the Norwegian Institute of Technology : the first ten years. Norges tekniske høgskole Industrial Mathematics Week (1992 : Trondheim) , [Mangler data]

1991

Academic lecture

Holden, Helge; Holden, Lars. (1991) A review of stochastic methods applied to petroleum reservoir evaluation. Stochastic processes, physics and Geometry , Locarno 1991-06-24 -

1989

Academic lecture

Bratvedt, Kyrre; Bratvedt, Frode; Buchholz, Christian; Holden, Helge; Holden, Lars; Risebro, Nils Henrik. (1989) A reservoir simulator based on front tracking. Society of Petroleum Engineers Society of Petroleum Engineers, 64th annual technical conference & exhibition 1989-10-01 -
Academic lecture

Holden, Helge; Holden, Lars; Risebro, Nils Henrik. (1989) Some qualitative properties of 2x2 systems of conservation laws of mixed type. Institute for Mathematics and its Application, Minneapolis Workshop om equations that change type , Minneapolis 1989-03-01 -
Academic lecture

Holden, Lars; Holden, Helge; Risebro, Nils Henrik. (1989) A note on 2x2 systems of hyperbolic conservation laws. VISTA seminar, Lysebu 1989-01-09 -

1988

Academic lecture

Holden, Helge; Holden, Lars. (1988) On some recent results for conservation laws in one dimension. 2nd International Conference on Hyperbolic Problems , Aachen 1988-03-14 -

Språkvelger

Helge Holden

Helge Holden

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Spring 2023: MA8105 Nonlinear PDEs and Sobolov Spaces

Fall 2021: TMA4305 Partial Differential Equations

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