Helge Holden
About
Activities:
I am the Principal Investigator of the research project ("Toppforsk") Waves and Nonlinear Phenomena (WaNP). I am the Secretary General of the International Mathematical Union (IMU). 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 2020: MA8105 Nonlinear PDEs and Sobolov Spaces
Fall 2021: TMA4305 Partial Differential Equations
Publications
2022
- 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. volum 85 (4).
- Grötschel, Martin; Hanche-Olsen, Harald; Holden, Helge; Krystek, Michael P.. (2022) On Angular Measures in Axiomatic Euclidean Planar Geometry. Measurement Science Review. volum 22 (4).
- Grötschel, Martin; Hanche-Olsen, Harald; Holden, Helge; Krystek, Michael P.. (2022) On angular measures in axiomatic Euclidean planar geometry. Measurement Science Review. volum 22 (4).
- Grunert, Katrin; Holden, Helge. (2022) Uniqueness of conservative solutions for the Hunter–Saxton equation. Research in the Mathematical Sciences. volum 9.
- 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. volum 150.
- Karlsen, Kenneth Aksel Hvistendahl; Holden, Helge. (2022) Global well-posedness of the viscous Camassa–Holm equation with gradient noise. Discrete and Continuous Dynamical Systems. Series A.
2021
- Coclite, Giuseppe Maria; Holden, Helge; Risebro, Nils Henrik. (2021) Singular diffusion with Neumann boundary conditions. Nonlinearity. volum 34 (3).
- Exner, Pavel; Frank, Rupert; Gesztesy, Fritz; Holden, Helge; Weidl, Timo. (2021) Partial Differential Equations, Spectral Theory, and Mathematical Physics. 2021. ISBN 978-3-98547-007-5.
- 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. volum 118 (4).
- 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. volum 118 (18).
- Holden, Helge. (2021) ``Broken English'' – det internasjonale forskningsspråket. www.universitetsavisa.no.
- Holden, Helge. (2021) Eikrem-saken – hvordan kunne vi ende der?. www.universitetsavisa.no.
- Holden, Helge. (2021) Forskingsrådet i trøbbel. www.universitetsavisa.no.
- Holden, Helge. (2021) Hva skal vi forske på det neste tiåret?. www.universitetsavisa.no.
- Holden, Helge. (2021) Hvor lenge skal vi jobbe?. www.universitetsavisa.no.
- Holden, Helge. (2021) Styrevalg, omvalg og vanskelige valg. www.universitetsavisa.no.
- Holden, Helge. (2021) Ved mitt institutt vil to sensorer bety omlag frem ekstra årsverk. www.universitetsavisa.no.
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Pang, Ho Cheung. (2021) The Hunter-Saxton equation with noise. Journal of Differential Equations. volum 270.
- Holden, Helge; Lohndal, Terje. (2021) Ledere bør ansettes, ikke velges. www.universitetsavisa.no.
- Holden, Helge; Risebro, Nils Henrik. (2021) Mathematical models of traffic flow. SIAM News. volum 54 (5).
2020
- Antonio Carrillo, José; Grunert, Katrin; Holden, Helge. (2020) A Lipschitz metric for the Camassa-Holm equation. Forum of Mathematics, Sigma. volum 8 (e27).
- Colombo, Rinaldo M; Holden, Helge; Marcellini, Francesca. (2020) On the microscopic modeling of vehicular traffic on general networks. SIAM Journal on Applied Mathematics. volum 80 (3).
- Holden, Helge. (2020) ABE-"reformen" - når er det nok?. www.universitetsavisa.no.
- Holden, Helge. (2020) At "tyskervitsen" ble en sak, er problematisk på mange måter. www.universitetsavisa.no.
- Holden, Helge. (2020) Hva får vi for forskningspengene?. www.universitetsavisa.no.
- Holden, Helge. (2020) Kallelse - ikke gjør det. www.universitetsavisa.no.
- Holden, Helge. (2020) Koronapandemien etter første bølge. www.universitetsavisa.no.
- Holden, Helge. (2020) NTNUs renommé på spill?. www.universitetsavisa.no.
- Holden, Helge. (2020) The International Mathematical Union. Newsletter of the London Mathematical Society.
- Holden, Helge. (2020) Ytringsfrihet - hvor går grensen?. www.universitetsavisa.no.
- Holden, Helge; Lohndal, Terje. (2020) God og dårlig midlertidighet. www.universitetsavisa.no.
- Holden, Helge; Lohndal, Terje. (2020) Hva er et fornuftig antall midlertidig ansatte ved universiteter og høyskoler?. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge; Lohndal, Terje. (2020) Midlertidighet: Den gode, den dårlige og den kontroversielle. Forskerforum.no.
2019
- Antonio Carrillo, Jose; Grunert, Katrin; Holden, Helge. (2019) A Lipschitz metric for the Hunter–Saxton equation. Communications in Partial Differential Equations. volum 44 (4).
- Borg, Anne; Brattebø, Helge; Bull, Ida; Holden, Helge; Overskaug, Kristian; Thorseth, May Britt. (2019) Internasjonal bærekraftspris er etablert i Trondheim. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge. (2019) Hvor skal vi gjøre av bilene?. www.universitetsavisa.no.
- Holden, Helge. (2019) Ble media misbrukt av aktører i IHS-konflikten?. www.universitetsavisa.no.
- Holden, Helge. (2019) Campussamling til besvær. www.universitetsavisa.no.
- Holden, Helge. (2019) Midlertidighet er ikke et midlertidig problem. www.universitetsavisa.no.
- Holden, Helge. (2019) Viktig at forskningstiden blir skjermet mest mulig framover. www.universitetsavisa.no.
- Holden, Helge; Piene, Ragni. (2019) The Abel Prize 2013-2017. Springer Nature. 2019. ISBN 978-3-319-99027-9.
- Holden, Helge; Risebro, Nils Henrik. (2019) Models for dense multilane vehicular traffic. SIAM Journal on Mathematical Analysis. volum 51 (5).
2018
- Grunert, Katrin; Holden, Helge; Grasmair, Markus. (2018) On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System. Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg.
- Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia. (2018) An improvement of the Kolmogorov?Riesz compactness theorem. Expositiones mathematicae.
- Holden, Helge; Risebro, Nils Henrik. (2018) Continuum limit of Follow-the-Leader models – a short proof. Discrete and Continuous Dynamical Systems. Series A. volum 38 (2).
- 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. volum 13 (3).
2017
- Berndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2017) On the index of meromorphic operator-valued functions and some applications. Functional Analysis and Operator Theory for Quantum Physics.
- 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. volum 67 (3).
- Holden, Helge. (2017) Forskerne må ta sin del av ansvaret. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge. (2017) Tellekanter er ikke så galt. Aftenposten (morgenutg. : trykt utg.).
2016
- 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. volum 261 (6).
- Busterud, Guro; Eide, Kristin Melum; Foss, Bjarne Anton; Holden, Helge. (2016) Ja takk til ansatt rektor!. Aftenposten (morgenutg. : trykt utg.).
- Colombo, Rinaldo M; Holden, Helge. (2016) Isentropic fluid dynamics in a curved pipe. Zeitschrift für Angewandte Mathematik und Physik. volum 67 (5).
- Colombo, Rinaldo; Holden, Helge. (2016) On the Braess Paradox with Nonlinear Dynamics and Control Theory. Journal of Optimization Theory and Applications. volum 168 (1).
- Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2016) Convergence of finite difference schemes for the Benjamin–Ono equation. Numerische Mathematik. volum 134 (2).
- 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.
- Grunert, Katrin; Holden, Helge. (2016) The general peakon-antipeakon solution for the Camassa-Holm equation. Journal of Hyperbolic Differential Equations. volum 13 (2).
- Hanche-Olsen, Harald; Holden, Helge. (2016) Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394]. Expositiones mathematicae. volum 34.
- Holden, Helge. (2016) Ansatt og ansvarlig ledelse. Dagens næringsliv.
- Holden, Helge. (2016) Burgers meets Braess. Oberwolfach Reports. volum 13 (2).
- Holden, Helge. (2016) Utfordringer ved evaluering av avsluttede ERC-prosjekter. Forskningspolitikk.
- Holden, Helge; Holden, Lars. (2016) Oljefondet kan spare penger. Dagens næringsliv.
- Rokne, Arnfinn Stendahl; Andersen, Reidar; Holden, Helge. (2016) Vi kan gje formidling av verdsklasse. Adresseavisen.
2015
- Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2015) Operator splitting for the Benjamin-Ono equation. Journal of Differential Equations. volum 259 (11).
- Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2015) On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Integral equations and operator theory. volum 82 (1).
- Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions. Forum of Mathematics, Sigma.
- 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. volum 3.
- Holden, Helge. (2015) Forskning og det uventede. Adresseavisen.
- 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. volum 35 (3).
- Holden, Helge; Risebro, Nils Henrik. (2015) Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V.. 2015. ISBN 978-3-662-47506-5. Applied mathematical sciences (152).
2014
- Chen, Gui-Qiang; Holden, Helge; Karlsen, Kenneth Hvistendahl. (2014) Hyperbolic Conservation Laws and Related Analysis with Applications. Springer Science+Business Media B.V.. 2014. ISBN 978-3-642-39006-7. Springer Proceedings in Mathematics & statistics (49).
- 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. volum 17 (1).
- Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Lipschitz metric for the two-component Camassa-Holm system. Hyperbolic Problems: Theory, Numerics, Applications.
- Holden, Helge. (2014) Alle vil støtte et gjennombrudd. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge. (2014) Hvem skal vi gi fast ansettelse?. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge. (2014) Styringsmodeller. Morgenbladet.
- Holden, Helge. (2014) Universitetsledere. Morgenbladet.
- Holden, Helge. (2014) Ville Abel fått Abelprisen? Om Abel og prisen hans. Årbok 2013.
- Holden, Helge; Piene, Ragni. (2014) The Abel Prize 2008–2012. Springer Science+Business Media B.V.. 2014. ISBN 978-3-642-39448-5.
- Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik. (2014) On an inverse problem for scalar conservation laws. Inverse Problems. volum 30 (3).
- Holden, Helge; Reinhardsen, John Erik. (2014) Matematikk gir økt produktivitet. Dagens næringsliv.
2013
- Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) Periodic conservative solutions for the two-component Camassa-Holm system. Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday.
- Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) LIPSCHITZ METRIC FOR THE CAMASSA-HOLM EQUATION ON THE LINE. Discrete and Continuous Dynamical Systems. Series A. volum 33 (7).
- Holden, Helge. (2013) The Camassa-Holm equation.
- Holden, Helge. (2013) Would Abel have received the Abel Prize? On Niels Henrik Abel and his prize. Årbok - Norges Tekniske Vitenskapsakademi (NTVA).
- Holden, Helge; Holden, Lars. (2013) Optimal rebalancing of portfolios with transaction costs. Stochastics: An International Journal of Probability and Stochastic Processes. volum 85 (3).
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. (2013) OPERATOR SPLITTING FOR WELL-POSED ACTIVE SCALAR EQUATIONS. SIAM Journal on Mathematical Analysis. volum 45 (1).
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. (2013) Operator splitting for two-dimensional incompressible fluid equations. Mathematics of Computation. volum 82 (282).
- Holden, Helge; Lubich, Christian; Risebro, Nils Henrik. (2013) Operator splitting for partial differential equations with Burgers nonlinearity. Mathematics of Computation. volum 82.
- 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). 2013. ISBN 978-0-8218-7574-2. Proceedings of Symposia in Pure Mathematics (87).
2012
- 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. volum 32 (12).
- Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) Global Solutions for the Two-Component Camassa-Holm System. Communications in Partial Differential Equations. volum 37 (12).
- Gesztesy, Fritz; Goldstein, Jerome; Holden, Helge; Teschl, Gerald. (2012) Abstract wave equations and associated Dirac-type operators. Annali di Matematica Pura ed Applicata. volum 191 (4).
- Holden, Helge. (2012) Noen refleksjoner om søknadsprosessen for SFF. Bladet forskning.
- Holden, Helge; Karlsen, Kenneth Hvistendahl. (2012) Nonlinear Partial Differential Equations. The Abel Symposium 2010. Springer Science+Business Media B.V.. 2012. ISBN 978-3-642-25360-7. Abel Symposia (7).
- Holden, Helge; Overskaug, Kristian. (2012) Høydepunkter i Skrifter og Forhandlinger. Et utvalg artikler fra perioden 1761 - 2011. Tapir Akademisk Forlag. 2012. ISBN 978-82-519-2881-6. Skrifter (4/11).
- Holden, Helge; Piene, Ragni. (2012) Matematikkens gave. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge; Stubhaug, Arild. (2012) Vitenskapelige skrifter i 250 år. Adresseavisen.
2011
- Frid, Hermano; Holden, Helge; Karlsen, Kenneth Hvistendahl. (2011) L-infinity SOLUTIONS FOR A MODEL OF NONISOTHERMAL POLYTROPIC GAS FLOW. SIAM Journal on Mathematical Analysis. volum 43 (5).
- Gesztesy, Fritz; Holden, Helge. (2011) The damped string problem revisited. Journal of Differential Equations. volum 251 (4-5).
- Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2011) Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations. volum 250 (3).
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Tao, T. (2011) OPERATOR SPLITTING FOR THE KdV EQUATION. Mathematics of Computation. volum 80 (274).
- Holden, Helge; Raynaud, Xavier Marcel. (2011) Global Semigroup of Conservative Solutions of the Nonlinear Variational Wave Equation. Archive for Rational Mechanics and Analysis. volum 201 (3).
- Holden, Helge; Risebro, Nils Henrik. (2011) Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V.. 2011. ISBN 9783642239106.
2010
- 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.. 2010. ISBN 978-0-387-89487-4.
- Bressan, Alberto; Holden, Helge; Raynaud, Xavier. (2010) Lipschitz metric for the Hunter-Saxton equation. Journal des Mathématiques Pures et Appliquées. volum 94 (1).
- 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. volum 27 (1).
- 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. volum 26 (1).
- Hanche-Olsen, Harald; Holden, Helge. (2010) The Kolmogorov-Riesz compactness theorem. Expositiones mathematicae. volum 28 (4).
- Holden, H; Holden, Lars; Holden, S. (2010) Contract adjustment under uncertainty. Journal of Economic Dynamics and Control. volum 34 (4).
- Holden, Helge. (2010) Kollisjonsfare?. Dagens næringsliv.
- Holden, Helge; Karlsen, Kenneth Hvistendahl. (2010) Nonlinear partial differential equations and hyperbolic wave phenomena. American Mathematical Society (AMS). 2010. ISBN 978-0-8218-4976-7. Contemporary Mathematics (526).
- 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 Publishing House. 2010. ISBN 978-3-03719-078-4.
- Holden, Helge; Piene, Ragni. (2010) The Abel Prize 2003-2007. The First Five Years. Springer Publishing Company. 2010. ISBN 978-3-642-01372-0.
- Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2010) Front tracking for a model of immiscible gas flow with large data. BIT Numerical Mathematics. volum 50 (2).
- Holden, Helge; Sarnak, Peter. (2010) A survey of Peter D. Lax's contributions to mathematics. The Abel Prize 2003-2007. The First Five Years.
2009
- Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng. (2009) Stochastic Partial Differential Equations. Springer. 2009. ISBN 978-0-387-89487-4. Universitext (X).
- Holden, Helge; Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl. (2009) Well-posedness of higher-order Camassa-Holm equations. Journal of Differential Equations. volum 246 (3).
- 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.
- 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. volum 2009.
- 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. volum 29 (6).
- Holden, Helge; Karlsen, KH; Risebro, N.H.. (2009) A convergent finite-difference method for a nonlinear variational wave equation. IMA Journal of Numerical Analysis. volum 29 (3).
- Holden, Helge; Raynaud, Xavier. (2009) Dissipative solutions for the Camassa-Holm equation. Discrete and Continuous Dynamical Systems. Series A. volum 24 (4).
- Ehrnstrom, Mats; Holden, Helge; Raynaud, Xavier; Ehrnström, Mats. (2009) Symmetric waves are traveling waves. International mathematics research notices.
- 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. volum 6 (1).
- 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. Hyperbolic Problems: Theory, Numerics and Applications.
- 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. Hyperbolic Problems: Theory, Numerics and Applications.
2008
- Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria; Holden, Helge. (2008) Global weak solutions for a shallow water equation. Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Eleventh International Conference on Hyperbolic Problems held in Ecole Normale Supérieure, Lyon, July 17-21, 2006.
- 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. volum 366.
- 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). volum 120.
- Gesztesy, Fritz; Teschl, Gerald; Holden, Helge. (2008) The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. Revista matemática iberoamericana. volum 24.
- Holden, Helge. (2008) Terence Tao og undervisning av flinke elever. Adresseavisen.
- Holden, Helge. (2008) Verdens smarteste mann til Norge. Forskning.no.
- Holden, Helge; Coclite, Giuseppe Maria. (2008) Erratum to: The Schrödinger-Maxwell system with Dirac mass. Annales de l'Institut Henri Poincare. Analyse non linéar. volum 25.
- Holden, Helge; Gesztesy, Fritz; Michor, Johanna; Teschl, Gerald. (2008) The Ablowitz--Ladik hierarchy revisited. Methods of Spectral Analysis in Mathematical Physics.
- 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. 2008. ISBN 978-0-521-75308-1. Cambridge Studies in Advanced Mathematics (114).
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria. (2008) Global weak solutions for a shallow water equation. Hyperbolic Problems: Theory, Numerics, Applications.
- Holden, Helge; Raynaud, X. (2008) Global Dissipative Multipeakon Solutions of the Camassa-Holm Equation. Communications in Partial Differential Equations. volum 33 (11).
- Raynaud, Xavier; Holden, Helge. (2008) A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation. Hyperbolic Problems: Theory, Numerics, Applications.
- Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl; Holden, Helge. (2008) A convergent finite difference method for a variational wave equation. IMA Journal of Numerical Analysis.
- Holden, Helge; Raynaud, X. (2008) Periodic conservative solutions of the Camassa-Holm equation. Annales de l'Institut Fourier. volum 58.
2007
- Holden, Helge; Coclite, Giuseppe M.. (2007) The Schrodinger-Maxwell system with Dirac mass. Annales de l'Institut Henri Poincare. Analyse non linéar. volum 24.
- Holden, Helge. (2007) Digitalisering av matematisk litteratur, og Abels samlede spesielt. NB21.
- Holden, Helge. (2007) Informatikk betyr mye, men ikke alt. Bladet forskning.
- 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.
- Holden, Helge; Gesztesy, Fritz; Michor, Johanna; Teschl, Gerald. (2007) Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. International mathematics research notices. volum 2007.
- Holden, Helge; Holden, Lars. (2007) Optimal rebalancing of portfolios with transaction costs. 2007.
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2007) Convergent difference schemes for the Hunter-Saxton equation. Mathematics of Computation. volum 76.
- Holden, Helge; Raynaud, Xavier. (2007) Global conservative multipeakon solutions of the Camassa-Holm equation. Journal of Hyperbolic Differential Equations. volum 4 (1).
- Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the Camassa-Holm equation - a Lagrangian point of view. Communications in Partial Differential Equations. volum 32.
- Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the generalized hyperelastic-rod wave equation. Journal of Differential Equations. volum 233.
2006
- Holden, Helge. (2006) Om Poincaré, Perelman og kuler. Morgenbladet.
- Holden, Helge; Gesztesy, Fritz. (2006) Local conservation laws and the Hamiltonian formalism for the Toda hierarchy revisited. Skrifter.
- Holden, Helge; Raynaud, Xavier. (2006) A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Discrete and Continuous Dynamical Systems. Series A. volum 14 (3).
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria. (2006) Global weak solutions to a generalized hyperelastic-rod wave equation. SIAM Journal on Mathematical Analysis. volum 37 (4).
- Holden, Helge; Raynaud, Xavier. (2006) Convergence of a finite difference scheme for the Camassa-Holm equation. SIAM Journal on Numerical Analysis. volum 44 (4).
2005
- Coclite, GM; Holden, Helge; Karlsen, KH. (2005) Wellposedness for a parabolic-elliptic system. Discrete and Continuous Dynamical Systems. Series A. volum 13.
- Holden, Helge. (2005) Matematikkens bidrag til Olje-Norge. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge. (2005) On the Camassa-Holm and Hunter-Saxton equations. European Congress of Mathematics Stockholm, June 27 - July 2, 2004.
- Holden, Helge. (2005) Peter D. Lax. Abelprisvinner 2005. Normat. volum 53.
- Holden, Helge; Gesztesy, Fritz; Albeverio, Sergio; Høegh-Krohn, Raphael. (2005) Solvable Models in Quantum Mechanics. American Mathematical Society (AMS). 2005. ISBN 0821835548.
- Holden, Helge; Gesztesy, Fritz; Geronimo, Jeffrey. (2005) Algebro-geometric solutions of the Baxter-Szego difference equation. Communications in Mathematical Physics. volum 258.
- Coclite, GM; Holden, Helge. (2005) Stability of solutions of quasilinear parabolic equations. Journal of Mathematical Analysis and Applications. volum 308.
- Holden, Helge; Holden, Lars; Holden, Steinar. (2005) Contract adjustment under uncertainty. CESifo Working Papers.
2004
- Holden, Helge; Gesztesy, Fritz; Cascaval, Radu; Latushkin, Yuri. (2004) Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Journal d'Analyse Mathematique. volum 93.
2003
- Eilbeck, Chris; Holden, Helge; Enolskii, Victor Z.. (2003) The hyperelliptic zeta-function abd the integrable massive Thirring model. Proceedings Royal Society London A. volum 459 (2035).
- Gesztesy, Fritz; Holden, Helge. (2003) Soliton Equations and Their Algebro-Geometric Solutions Volume I: (1+1)-Dimensional Continuous Models. Cambridge University Press. 2003. ISBN 0-521-75307-4.
- Holden, Helge; Gesztesy, Fritz. (2003) Algebro-geometric solutions of the Camassa-Holm hierarchy. Revista matemática iberoamericana. volum 19 (1).
- 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. volum 46.
- 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. volum 2003 (46).
- 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. volum 2003 (46).
2002
- Holden, Helge; Gesztesy, Fritz. (2002) Dubrovin equations and integrable systems on hyperelliptic curves. Mathematica Scandinavica. volum 91.
- Holden, Helge; Risebro, Nils Henrik. (2002) Front Tracking for Hyperbolic Conservation Laws. Springer. 2002. ISBN 3-540-43289-2. Applied mathematical sciences (152).
- 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. volum 60 (4).
2000
- Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M.. (2000) Borg-type theorems for matrix-valued Schrödinger operators. Journal of Differential Equations. volum 167.
- Gesztesy, Fritz; Holden, Helge. (2000) A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions. AMS/IP studies in advanced mathematics.
- Gesztesy, Fritz; Holden, Helge. (2000) Darboux-type transformations and hyperelliptic curves. Journal für die Reine und Angewandte Mathematik. volum 527.
- Gesztesy, Fritz; Holden, Helge. (2000) The classical boussinesq hierarchy revisited. Skrifter.
- 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. 2000. ISBN 0-8218-1959-3. CMS Conference Proceedings Series (28).
- 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. 2000. ISBN 0-8218-1960-7. CMS Conference Proceedings Series (29).
- Holden, Helge. (2000) Sturm-Liouville operators and Hilbert spaces: A brief introduction. Tapir Akademisk Forlag. 2000. ISBN 82-519-1565-1.
- 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. volum 63.
- 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. volum 29.
- 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. volum 4.
1999
- Holdahl, Runar; Holden, Helge; Lie, Knut Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics. volum 39.
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. 1999. Preprint.
- 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. 1999. Preprint.
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (1999) Operator splitting methods for generalized Korteweg-De Vries equations. Journal of Computational Physics.
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (1999) Operator splitting methods for generalized Korteweg-De Vries equations. Journal of Computational Physics. volum 153.
- Holden, Helge; Lie, Knut-Andreas; Risebro, N.H.. (1999) An Unconditionally Stable Method for the Euler Equations. Journal of Computational Physics. volum 150.
- Holden, Helge; Øksendal, Bernt. (1999) A White Noise Approach to Stochastic Differential Equation Driven by Wiener and Poisson Processes. Nonlinear Theory of Generalized Functions.
- Holdahl, Runar; Holden, Helge; Lie, Knut-Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics. volum 39 (3).
- Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) An unconditionally stable method for the Euler equations. Journal of Computational Physics.
- Holden, Helge; Risebro, Nils Henrik. (1999) Riemann problems with a kink. SIAM Journal on Mathematical Analysis. volum 30.
- Holden, Helge; Øksendal, Bernt. (1999) A white noise approach to stochastic Neumann boundary value problems. 1999.
- Holden, Helge; Øksendal, Bernt. (1999) "A white noise approach to stochastic differential equations driven by Wiener and Poisson noises". Nonlinear Theory of Generalized Functions.
- Holden, Helge; Øksendal, Bernt. (1999) "A white noise approach to stochastic differential equations driven by Wiener and Poisson processes". "Nonlinear Theory of Generalized Functions".
- Karlsen, Kenneth Hvistendahl; Holden, Helge; Risebro, Nils Henrik. (1999) Operator splitting for generalized KdV equations. Journal of Computational Physics.
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. 1998. ISBN 0-8218-0808-7.
- 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. volum 30 (2).
1997
- Holden, Helge. (1997) Buckley-Leverett equation. Encyclopedia of mathematics.
- Holden, Helge; Risebro, N.H.. (1997) Conservation laws with a random source. Applied Mathematics and Optimization. volum 36.
1996
- Hemmer, P.C.; Holden, Helge; Kjelstrup, Signe. (1996) The collected works of Lars Onsager : (with commentary). 1996. ISBN 981-02-2563-6.
- Holden, Helge; Øksendahl, Bernt; Ubøe, Jan; Zhang, Tusheng. (1996) Stochastic partial differential equations : a modeling, white noise functional approach. 1996. ISBN 0-8176-3928-4.
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.
- Holden, Helge; Risebro, Nils Henrik; Tveito, Aslak. (1995) Maximum principles for a class of conservation laws. SIAM Journal on Applied Mathematics. volum 55.
1994
- Holden, Helge. (1994) En trafikkmodell. Den levende matematikken.
- Holden, Helge. (1994) The Burgers equation with a noisy force and the stochastic heat equation. Communications in Partial Differential Equations. volum 19 (1/2).
- Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Gimse, Tore; Holden, Helge; Holden, Lars; Olufsen, Rudi; Risebro, Nils Henrik. (1994) Three-dimensional reservoir simulation based on front tracking. North Sea Oil & Gas Reservoirs - III.
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. 1993. ISBN 82-7719-003-4. NTVA & 2-1993.
- Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Gimse, Tore; Holden, Helge; Holden, Lars; Risebro, Nils Henrik. (1993) Frontline and frontsim: two full scale, two-phase, black oil reservoir simulators based on front tracking. Surveys on Mathematics for Industry. volum 3.
- 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. volum 95 (3).
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. 1992.
- 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. volum 7 (1).
- Holden, Helge; Holden, Lars. (1992) On scalar conservation laws in one-dimension. Ideas and methods in mathematical analysis, stochastics and applications.
1991
- Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge. (1991) Solvable models in quantum mechanics. 1991. ISBN 5-03-001905-7.
- Holden, Helge; Holden, Lars. (1991) Reservoir evaluation by stochastic partial differential equations. 1991. NR-notat (SAND/29/91).
1989
- Holden, Helge; Holden, Lars. (1989) On the Riemann problem for a prototype of a mixed type conservation law II. Contemporary Mathematics. volum 100.
1988
- 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. volum 15 (08.06.2012).
- Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1988) First order nonlinear scalar hyperbolic conservation laws in one dimension. 1988. Preprint, Matematisk institutt, Universitetet i Oslo (1).
1986
- Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1986) A Numerical Method for First Order Nonlinear Scalar Hyperbolic Conservation Laws in one Dimension. 1986. Preprint, Matematisk institutt, Universitetet i Oslo (12).
Journal publications
- 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. volum 85 (4).
- Grötschel, Martin; Hanche-Olsen, Harald; Holden, Helge; Krystek, Michael P.. (2022) On Angular Measures in Axiomatic Euclidean Planar Geometry. Measurement Science Review. volum 22 (4).
- Grötschel, Martin; Hanche-Olsen, Harald; Holden, Helge; Krystek, Michael P.. (2022) On angular measures in axiomatic Euclidean planar geometry. Measurement Science Review. volum 22 (4).
- Grunert, Katrin; Holden, Helge. (2022) Uniqueness of conservative solutions for the Hunter–Saxton equation. Research in the Mathematical Sciences. volum 9.
- 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. volum 150.
- Karlsen, Kenneth Aksel Hvistendahl; Holden, Helge. (2022) Global well-posedness of the viscous Camassa–Holm equation with gradient noise. Discrete and Continuous Dynamical Systems. Series A.
- Coclite, Giuseppe Maria; Holden, Helge; Risebro, Nils Henrik. (2021) Singular diffusion with Neumann boundary conditions. Nonlinearity. volum 34 (3).
- 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. volum 118 (4).
- 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. volum 118 (18).
- Holden, Helge. (2021) ``Broken English'' – det internasjonale forskningsspråket. www.universitetsavisa.no.
- Holden, Helge. (2021) Eikrem-saken – hvordan kunne vi ende der?. www.universitetsavisa.no.
- Holden, Helge. (2021) Forskingsrådet i trøbbel. www.universitetsavisa.no.
- Holden, Helge. (2021) Hva skal vi forske på det neste tiåret?. www.universitetsavisa.no.
- Holden, Helge. (2021) Hvor lenge skal vi jobbe?. www.universitetsavisa.no.
- Holden, Helge. (2021) Styrevalg, omvalg og vanskelige valg. www.universitetsavisa.no.
- Holden, Helge. (2021) Ved mitt institutt vil to sensorer bety omlag frem ekstra årsverk. www.universitetsavisa.no.
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Pang, Ho Cheung. (2021) The Hunter-Saxton equation with noise. Journal of Differential Equations. volum 270.
- Holden, Helge; Lohndal, Terje. (2021) Ledere bør ansettes, ikke velges. www.universitetsavisa.no.
- Holden, Helge; Risebro, Nils Henrik. (2021) Mathematical models of traffic flow. SIAM News. volum 54 (5).
- Antonio Carrillo, José; Grunert, Katrin; Holden, Helge. (2020) A Lipschitz metric for the Camassa-Holm equation. Forum of Mathematics, Sigma. volum 8 (e27).
- Colombo, Rinaldo M; Holden, Helge; Marcellini, Francesca. (2020) On the microscopic modeling of vehicular traffic on general networks. SIAM Journal on Applied Mathematics. volum 80 (3).
- Holden, Helge. (2020) ABE-"reformen" - når er det nok?. www.universitetsavisa.no.
- Holden, Helge. (2020) At "tyskervitsen" ble en sak, er problematisk på mange måter. www.universitetsavisa.no.
- Holden, Helge. (2020) Hva får vi for forskningspengene?. www.universitetsavisa.no.
- Holden, Helge. (2020) Kallelse - ikke gjør det. www.universitetsavisa.no.
- Holden, Helge. (2020) Koronapandemien etter første bølge. www.universitetsavisa.no.
- Holden, Helge. (2020) NTNUs renommé på spill?. www.universitetsavisa.no.
- Holden, Helge. (2020) The International Mathematical Union. Newsletter of the London Mathematical Society.
- Holden, Helge. (2020) Ytringsfrihet - hvor går grensen?. www.universitetsavisa.no.
- Holden, Helge; Lohndal, Terje. (2020) God og dårlig midlertidighet. www.universitetsavisa.no.
- Holden, Helge; Lohndal, Terje. (2020) Hva er et fornuftig antall midlertidig ansatte ved universiteter og høyskoler?. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge; Lohndal, Terje. (2020) Midlertidighet: Den gode, den dårlige og den kontroversielle. Forskerforum.no.
- Antonio Carrillo, Jose; Grunert, Katrin; Holden, Helge. (2019) A Lipschitz metric for the Hunter–Saxton equation. Communications in Partial Differential Equations. volum 44 (4).
- Borg, Anne; Brattebø, Helge; Bull, Ida; Holden, Helge; Overskaug, Kristian; Thorseth, May Britt. (2019) Internasjonal bærekraftspris er etablert i Trondheim. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge. (2019) Hvor skal vi gjøre av bilene?. www.universitetsavisa.no.
- Holden, Helge. (2019) Ble media misbrukt av aktører i IHS-konflikten?. www.universitetsavisa.no.
- Holden, Helge. (2019) Campussamling til besvær. www.universitetsavisa.no.
- Holden, Helge. (2019) Midlertidighet er ikke et midlertidig problem. www.universitetsavisa.no.
- Holden, Helge. (2019) Viktig at forskningstiden blir skjermet mest mulig framover. www.universitetsavisa.no.
- Holden, Helge; Risebro, Nils Henrik. (2019) Models for dense multilane vehicular traffic. SIAM Journal on Mathematical Analysis. volum 51 (5).
- Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia. (2018) An improvement of the Kolmogorov?Riesz compactness theorem. Expositiones mathematicae.
- Holden, Helge; Risebro, Nils Henrik. (2018) Continuum limit of Follow-the-Leader models – a short proof. Discrete and Continuous Dynamical Systems. Series A. volum 38 (2).
- 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. volum 13 (3).
- 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. volum 67 (3).
- Holden, Helge. (2017) Forskerne må ta sin del av ansvaret. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge. (2017) Tellekanter er ikke så galt. Aftenposten (morgenutg. : trykt utg.).
- 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. volum 261 (6).
- Busterud, Guro; Eide, Kristin Melum; Foss, Bjarne Anton; Holden, Helge. (2016) Ja takk til ansatt rektor!. Aftenposten (morgenutg. : trykt utg.).
- Colombo, Rinaldo M; Holden, Helge. (2016) Isentropic fluid dynamics in a curved pipe. Zeitschrift für Angewandte Mathematik und Physik. volum 67 (5).
- Colombo, Rinaldo; Holden, Helge. (2016) On the Braess Paradox with Nonlinear Dynamics and Control Theory. Journal of Optimization Theory and Applications. volum 168 (1).
- Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2016) Convergence of finite difference schemes for the Benjamin–Ono equation. Numerische Mathematik. volum 134 (2).
- 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.
- Grunert, Katrin; Holden, Helge. (2016) The general peakon-antipeakon solution for the Camassa-Holm equation. Journal of Hyperbolic Differential Equations. volum 13 (2).
- Hanche-Olsen, Harald; Holden, Helge. (2016) Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394]. Expositiones mathematicae. volum 34.
- Holden, Helge. (2016) Ansatt og ansvarlig ledelse. Dagens næringsliv.
- Holden, Helge. (2016) Burgers meets Braess. Oberwolfach Reports. volum 13 (2).
- Holden, Helge. (2016) Utfordringer ved evaluering av avsluttede ERC-prosjekter. Forskningspolitikk.
- Holden, Helge; Holden, Lars. (2016) Oljefondet kan spare penger. Dagens næringsliv.
- Rokne, Arnfinn Stendahl; Andersen, Reidar; Holden, Helge. (2016) Vi kan gje formidling av verdsklasse. Adresseavisen.
- Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2015) Operator splitting for the Benjamin-Ono equation. Journal of Differential Equations. volum 259 (11).
- Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2015) On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions. Integral equations and operator theory. volum 82 (1).
- Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions. Forum of Mathematics, Sigma.
- 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. volum 3.
- Holden, Helge. (2015) Forskning og det uventede. Adresseavisen.
- 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. volum 35 (3).
- 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. volum 17 (1).
- Holden, Helge. (2014) Alle vil støtte et gjennombrudd. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge. (2014) Hvem skal vi gi fast ansettelse?. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge. (2014) Styringsmodeller. Morgenbladet.
- Holden, Helge. (2014) Universitetsledere. Morgenbladet.
- Holden, Helge; Priuli, Fabio Simone; Risebro, Nils Henrik. (2014) On an inverse problem for scalar conservation laws. Inverse Problems. volum 30 (3).
- Holden, Helge; Reinhardsen, John Erik. (2014) Matematikk gir økt produktivitet. Dagens næringsliv.
- Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) LIPSCHITZ METRIC FOR THE CAMASSA-HOLM EQUATION ON THE LINE. Discrete and Continuous Dynamical Systems. Series A. volum 33 (7).
- Holden, Helge. (2013) Would Abel have received the Abel Prize? On Niels Henrik Abel and his prize. Årbok - Norges Tekniske Vitenskapsakademi (NTVA).
- Holden, Helge; Holden, Lars. (2013) Optimal rebalancing of portfolios with transaction costs. Stochastics: An International Journal of Probability and Stochastic Processes. volum 85 (3).
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. (2013) OPERATOR SPLITTING FOR WELL-POSED ACTIVE SCALAR EQUATIONS. SIAM Journal on Mathematical Analysis. volum 45 (1).
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. (2013) Operator splitting for two-dimensional incompressible fluid equations. Mathematics of Computation. volum 82 (282).
- Holden, Helge; Lubich, Christian; Risebro, Nils Henrik. (2013) Operator splitting for partial differential equations with Burgers nonlinearity. Mathematics of Computation. volum 82.
- 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. volum 32 (12).
- Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) Global Solutions for the Two-Component Camassa-Holm System. Communications in Partial Differential Equations. volum 37 (12).
- Gesztesy, Fritz; Goldstein, Jerome; Holden, Helge; Teschl, Gerald. (2012) Abstract wave equations and associated Dirac-type operators. Annali di Matematica Pura ed Applicata. volum 191 (4).
- Holden, Helge. (2012) Noen refleksjoner om søknadsprosessen for SFF. Bladet forskning.
- Holden, Helge; Piene, Ragni. (2012) Matematikkens gave. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge; Stubhaug, Arild. (2012) Vitenskapelige skrifter i 250 år. Adresseavisen.
- Frid, Hermano; Holden, Helge; Karlsen, Kenneth Hvistendahl. (2011) L-infinity SOLUTIONS FOR A MODEL OF NONISOTHERMAL POLYTROPIC GAS FLOW. SIAM Journal on Mathematical Analysis. volum 43 (5).
- Gesztesy, Fritz; Holden, Helge. (2011) The damped string problem revisited. Journal of Differential Equations. volum 251 (4-5).
- Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2011) Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations. volum 250 (3).
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Tao, T. (2011) OPERATOR SPLITTING FOR THE KdV EQUATION. Mathematics of Computation. volum 80 (274).
- Holden, Helge; Raynaud, Xavier Marcel. (2011) Global Semigroup of Conservative Solutions of the Nonlinear Variational Wave Equation. Archive for Rational Mechanics and Analysis. volum 201 (3).
- Bressan, Alberto; Holden, Helge; Raynaud, Xavier. (2010) Lipschitz metric for the Hunter-Saxton equation. Journal des Mathématiques Pures et Appliquées. volum 94 (1).
- 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. volum 27 (1).
- 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. volum 26 (1).
- Hanche-Olsen, Harald; Holden, Helge. (2010) The Kolmogorov-Riesz compactness theorem. Expositiones mathematicae. volum 28 (4).
- Holden, H; Holden, Lars; Holden, S. (2010) Contract adjustment under uncertainty. Journal of Economic Dynamics and Control. volum 34 (4).
- Holden, Helge. (2010) Kollisjonsfare?. Dagens næringsliv.
- Holden, Helge; Risebro, Nils Henrik; Sande, Hilde. (2010) Front tracking for a model of immiscible gas flow with large data. BIT Numerical Mathematics. volum 50 (2).
- Holden, Helge; Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl. (2009) Well-posedness of higher-order Camassa-Holm equations. Journal of Differential Equations. volum 246 (3).
- 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.
- 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. volum 2009.
- 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. volum 29 (6).
- Holden, Helge; Karlsen, KH; Risebro, N.H.. (2009) A convergent finite-difference method for a nonlinear variational wave equation. IMA Journal of Numerical Analysis. volum 29 (3).
- Holden, Helge; Raynaud, Xavier. (2009) Dissipative solutions for the Camassa-Holm equation. Discrete and Continuous Dynamical Systems. Series A. volum 24 (4).
- Ehrnstrom, Mats; Holden, Helge; Raynaud, Xavier; Ehrnström, Mats. (2009) Symmetric waves are traveling waves. International mathematics research notices.
- 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. volum 6 (1).
- 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. volum 366.
- 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). volum 120.
- Gesztesy, Fritz; Teschl, Gerald; Holden, Helge. (2008) The algebro-geometric Toda hierarchy initial value problem for complex-valued initial data. Revista matemática iberoamericana. volum 24.
- Holden, Helge. (2008) Terence Tao og undervisning av flinke elever. Adresseavisen.
- Holden, Helge. (2008) Verdens smarteste mann til Norge. Forskning.no.
- Holden, Helge; Coclite, Giuseppe Maria. (2008) Erratum to: The Schrödinger-Maxwell system with Dirac mass. Annales de l'Institut Henri Poincare. Analyse non linéar. volum 25.
- Holden, Helge; Raynaud, X. (2008) Global Dissipative Multipeakon Solutions of the Camassa-Holm Equation. Communications in Partial Differential Equations. volum 33 (11).
- Risebro, Nils Henrik; Karlsen, Kenneth Hvistendahl; Holden, Helge. (2008) A convergent finite difference method for a variational wave equation. IMA Journal of Numerical Analysis.
- Holden, Helge; Raynaud, X. (2008) Periodic conservative solutions of the Camassa-Holm equation. Annales de l'Institut Fourier. volum 58.
- Holden, Helge; Coclite, Giuseppe M.. (2007) The Schrodinger-Maxwell system with Dirac mass. Annales de l'Institut Henri Poincare. Analyse non linéar. volum 24.
- Holden, Helge. (2007) Digitalisering av matematisk litteratur, og Abels samlede spesielt. NB21.
- Holden, Helge. (2007) Informatikk betyr mye, men ikke alt. Bladet forskning.
- 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.
- Holden, Helge; Gesztesy, Fritz; Michor, Johanna; Teschl, Gerald. (2007) Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. International mathematics research notices. volum 2007.
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2007) Convergent difference schemes for the Hunter-Saxton equation. Mathematics of Computation. volum 76.
- Holden, Helge; Raynaud, Xavier. (2007) Global conservative multipeakon solutions of the Camassa-Holm equation. Journal of Hyperbolic Differential Equations. volum 4 (1).
- Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the Camassa-Holm equation - a Lagrangian point of view. Communications in Partial Differential Equations. volum 32.
- Holden, Helge; Raynaud, Xavier. (2007) Global conservative solutions of the generalized hyperelastic-rod wave equation. Journal of Differential Equations. volum 233.
- Holden, Helge. (2006) Om Poincaré, Perelman og kuler. Morgenbladet.
- Holden, Helge; Gesztesy, Fritz. (2006) Local conservation laws and the Hamiltonian formalism for the Toda hierarchy revisited. Skrifter.
- Holden, Helge; Raynaud, Xavier. (2006) A convergent numerical scheme for the Camassa-Holm equation based on multipeakons. Discrete and Continuous Dynamical Systems. Series A. volum 14 (3).
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria. (2006) Global weak solutions to a generalized hyperelastic-rod wave equation. SIAM Journal on Mathematical Analysis. volum 37 (4).
- Holden, Helge; Raynaud, Xavier. (2006) Convergence of a finite difference scheme for the Camassa-Holm equation. SIAM Journal on Numerical Analysis. volum 44 (4).
- Coclite, GM; Holden, Helge; Karlsen, KH. (2005) Wellposedness for a parabolic-elliptic system. Discrete and Continuous Dynamical Systems. Series A. volum 13.
- Holden, Helge. (2005) Matematikkens bidrag til Olje-Norge. Aftenposten (morgenutg. : trykt utg.).
- Holden, Helge. (2005) Peter D. Lax. Abelprisvinner 2005. Normat. volum 53.
- Holden, Helge; Gesztesy, Fritz; Geronimo, Jeffrey. (2005) Algebro-geometric solutions of the Baxter-Szego difference equation. Communications in Mathematical Physics. volum 258.
- Coclite, GM; Holden, Helge. (2005) Stability of solutions of quasilinear parabolic equations. Journal of Mathematical Analysis and Applications. volum 308.
- Holden, Helge; Holden, Lars; Holden, Steinar. (2005) Contract adjustment under uncertainty. CESifo Working Papers.
- Holden, Helge; Gesztesy, Fritz; Cascaval, Radu; Latushkin, Yuri. (2004) Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Journal d'Analyse Mathematique. volum 93.
- Eilbeck, Chris; Holden, Helge; Enolskii, Victor Z.. (2003) The hyperelliptic zeta-function abd the integrable massive Thirring model. Proceedings Royal Society London A. volum 459 (2035).
- Holden, Helge; Gesztesy, Fritz. (2003) Algebro-geometric solutions of the Camassa-Holm hierarchy. Revista matemática iberoamericana. volum 19 (1).
- 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. volum 46.
- 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. volum 2003 (46).
- 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. volum 2003 (46).
- Holden, Helge; Gesztesy, Fritz. (2002) Dubrovin equations and integrable systems on hyperelliptic curves. Mathematica Scandinavica. volum 91.
- 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. volum 60 (4).
- Clark, Steve; Gesztesy, Fritz; Holden, Helge; Levitan, Boris M.. (2000) Borg-type theorems for matrix-valued Schrödinger operators. Journal of Differential Equations. volum 167.
- Gesztesy, Fritz; Holden, Helge. (2000) Darboux-type transformations and hyperelliptic curves. Journal für die Reine und Angewandte Mathematik. volum 527.
- Gesztesy, Fritz; Holden, Helge. (2000) The classical boussinesq hierarchy revisited. Skrifter.
- 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. volum 63.
- 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. volum 29.
- 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. volum 4.
- Holdahl, Runar; Holden, Helge; Lie, Knut Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics. volum 39.
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (1999) Operator splitting methods for generalized Korteweg-De Vries equations. Journal of Computational Physics.
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (1999) Operator splitting methods for generalized Korteweg-De Vries equations. Journal of Computational Physics. volum 153.
- Holden, Helge; Lie, Knut-Andreas; Risebro, N.H.. (1999) An Unconditionally Stable Method for the Euler Equations. Journal of Computational Physics. volum 150.
- Holdahl, Runar; Holden, Helge; Lie, Knut-Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics. volum 39 (3).
- Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) An unconditionally stable method for the Euler equations. Journal of Computational Physics.
- Holden, Helge; Risebro, Nils Henrik. (1999) Riemann problems with a kink. SIAM Journal on Mathematical Analysis. volum 30.
- Karlsen, Kenneth Hvistendahl; Holden, Helge; Risebro, Nils Henrik. (1999) Operator splitting for generalized KdV equations. Journal of Computational Physics.
- 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. volum 30 (2).
- Holden, Helge; Risebro, N.H.. (1997) Conservation laws with a random source. Applied Mathematics and Optimization. volum 36.
- Gjerde, Jon; Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tu Shen. (1995) An equation modeling transport of a substance in a stochastic medium. Ukjent.
- Holden, Helge; Risebro, Nils Henrik; Tveito, Aslak. (1995) Maximum principles for a class of conservation laws. SIAM Journal on Applied Mathematics. volum 55.
- Holden, Helge. (1994) The Burgers equation with a noisy force and the stochastic heat equation. Communications in Partial Differential Equations. volum 19 (1/2).
- Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Gimse, Tore; Holden, Helge; Holden, Lars; Risebro, Nils Henrik. (1993) Frontline and frontsim: two full scale, two-phase, black oil reservoir simulators based on front tracking. Surveys on Mathematics for Industry. volum 3.
- 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. volum 95 (3).
- 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. volum 7 (1).
- Holden, Helge; Holden, Lars. (1989) On the Riemann problem for a prototype of a mixed type conservation law II. Contemporary Mathematics. volum 100.
- 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. volum 15 (08.06.2012).
Report/dissertation
- Holden, Helge; Holden, Lars. (2007) Optimal rebalancing of portfolios with transaction costs. 2007.
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. 1999. Preprint.
- 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. 1999. Preprint.
- Holden, Helge; Øksendal, Bernt. (1999) A white noise approach to stochastic Neumann boundary value problems. 1999.
- Holden, Helge; Holden, Lars. (1991) Reservoir evaluation by stochastic partial differential equations. 1991. NR-notat (SAND/29/91).
- Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1988) First order nonlinear scalar hyperbolic conservation laws in one dimension. 1988. Preprint, Matematisk institutt, Universitetet i Oslo (1).
- Holden, Helge; Holden, Lars; Høegh-Krohn, Raphael. (1986) A Numerical Method for First Order Nonlinear Scalar Hyperbolic Conservation Laws in one Dimension. 1986. Preprint, Matematisk institutt, Universitetet i Oslo (12).
INFORMASJONSMATR
- Holden, Helge. (2013) The Camassa-Holm equation.
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. Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg.
- Berndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2017) On the index of meromorphic operator-valued functions and some applications. Functional Analysis and Operator Theory for Quantum Physics.
- Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Lipschitz metric for the two-component Camassa-Holm system. Hyperbolic Problems: Theory, Numerics, Applications.
- Holden, Helge. (2014) Ville Abel fått Abelprisen? Om Abel og prisen hans. Årbok 2013.
- Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) Periodic conservative solutions for the two-component Camassa-Holm system. Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday.
- Holden, Helge; Sarnak, Peter. (2010) A survey of Peter D. Lax's contributions to mathematics. The Abel Prize 2003-2007. The First Five Years.
- 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. Hyperbolic Problems: Theory, Numerics and Applications.
- 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. Hyperbolic Problems: Theory, Numerics and Applications.
- Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria; Holden, Helge. (2008) Global weak solutions for a shallow water equation. Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Eleventh International Conference on Hyperbolic Problems held in Ecole Normale Supérieure, Lyon, July 17-21, 2006.
- Holden, Helge; Gesztesy, Fritz; Michor, Johanna; Teschl, Gerald. (2008) The Ablowitz--Ladik hierarchy revisited. Methods of Spectral Analysis in Mathematical Physics.
- Holden, Helge; Karlsen, Kenneth Hvistendahl; Coclite, Giuseppe Maria. (2008) Global weak solutions for a shallow water equation. Hyperbolic Problems: Theory, Numerics, Applications.
- Raynaud, Xavier; Holden, Helge. (2008) A numerical scheme based on multipeakons for conservative solutions of the Camassa-Holm equation. Hyperbolic Problems: Theory, Numerics, Applications.
- Holden, Helge. (2005) On the Camassa-Holm and Hunter-Saxton equations. European Congress of Mathematics Stockholm, June 27 - July 2, 2004.
- Gesztesy, Fritz; Holden, Helge. (2000) A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions. AMS/IP studies in advanced mathematics.
- Holden, Helge; Øksendal, Bernt. (1999) A White Noise Approach to Stochastic Differential Equation Driven by Wiener and Poisson Processes. Nonlinear Theory of Generalized Functions.
- Holden, Helge; Øksendal, Bernt. (1999) "A white noise approach to stochastic differential equations driven by Wiener and Poisson noises". Nonlinear Theory of Generalized Functions.
- Holden, Helge; Øksendal, Bernt. (1999) "A white noise approach to stochastic differential equations driven by Wiener and Poisson processes". "Nonlinear Theory of Generalized Functions".
- Holden, Helge. (1997) Buckley-Leverett equation. Encyclopedia of mathematics.
- Holden, Helge. (1994) En trafikkmodell. Den levende matematikken.
- Bratvedt, Frode; Bratvedt, Kyrre; Buchholz, Christian; Gimse, Tore; Holden, Helge; Holden, Lars; Olufsen, Rudi; Risebro, Nils Henrik. (1994) Three-dimensional reservoir simulation based on front tracking. North Sea Oil & Gas Reservoirs - III.
- Holden, Helge; Holden, Lars. (1992) On scalar conservation laws in one-dimension. Ideas and methods in mathematical analysis, stochastics and applications.
Books
- Exner, Pavel; Frank, Rupert; Gesztesy, Fritz; Holden, Helge; Weidl, Timo. (2021) Partial Differential Equations, Spectral Theory, and Mathematical Physics. 2021. ISBN 978-3-98547-007-5.
- Holden, Helge; Piene, Ragni. (2019) The Abel Prize 2013-2017. Springer Nature. 2019. ISBN 978-3-319-99027-9.
- Holden, Helge; Risebro, Nils Henrik. (2015) Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V.. 2015. ISBN 978-3-662-47506-5. Applied mathematical sciences (152).
- Chen, Gui-Qiang; Holden, Helge; Karlsen, Kenneth Hvistendahl. (2014) Hyperbolic Conservation Laws and Related Analysis with Applications. Springer Science+Business Media B.V.. 2014. ISBN 978-3-642-39006-7. Springer Proceedings in Mathematics & statistics (49).
- Holden, Helge; Piene, Ragni. (2014) The Abel Prize 2008–2012. Springer Science+Business Media B.V.. 2014. ISBN 978-3-642-39448-5.
- 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). 2013. ISBN 978-0-8218-7574-2. Proceedings of Symposia in Pure Mathematics (87).
- Holden, Helge; Karlsen, Kenneth Hvistendahl. (2012) Nonlinear Partial Differential Equations. The Abel Symposium 2010. Springer Science+Business Media B.V.. 2012. ISBN 978-3-642-25360-7. Abel Symposia (7).
- Holden, Helge; Overskaug, Kristian. (2012) Høydepunkter i Skrifter og Forhandlinger. Et utvalg artikler fra perioden 1761 - 2011. Tapir Akademisk Forlag. 2012. ISBN 978-82-519-2881-6. Skrifter (4/11).
- Holden, Helge; Risebro, Nils Henrik. (2011) Front Tracking for Hyperbolic Conservation Laws. Springer Science+Business Media B.V.. 2011. ISBN 9783642239106.
- 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.. 2010. ISBN 978-0-387-89487-4.
- Holden, Helge; Karlsen, Kenneth Hvistendahl. (2010) Nonlinear partial differential equations and hyperbolic wave phenomena. American Mathematical Society (AMS). 2010. ISBN 978-0-8218-4976-7. Contemporary Mathematics (526).
- 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 Publishing House. 2010. ISBN 978-3-03719-078-4.
- Holden, Helge; Piene, Ragni. (2010) The Abel Prize 2003-2007. The First Five Years. Springer Publishing Company. 2010. ISBN 978-3-642-01372-0.
- Holden, Helge; Øksendal, Bernt; Ubøe, Jan; Zhang, Tusheng. (2009) Stochastic Partial Differential Equations. Springer. 2009. ISBN 978-0-387-89487-4. Universitext (X).
- 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. 2008. ISBN 978-0-521-75308-1. Cambridge Studies in Advanced Mathematics (114).
- Holden, Helge; Gesztesy, Fritz; Albeverio, Sergio; Høegh-Krohn, Raphael. (2005) Solvable Models in Quantum Mechanics. American Mathematical Society (AMS). 2005. ISBN 0821835548.
- Gesztesy, Fritz; Holden, Helge. (2003) Soliton Equations and Their Algebro-Geometric Solutions Volume I: (1+1)-Dimensional Continuous Models. Cambridge University Press. 2003. ISBN 0-521-75307-4.
- Holden, Helge; Risebro, Nils Henrik. (2002) Front Tracking for Hyperbolic Conservation Laws. Springer. 2002. ISBN 3-540-43289-2. Applied mathematical sciences (152).
- 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. 2000. ISBN 0-8218-1959-3. CMS Conference Proceedings Series (28).
- 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. 2000. ISBN 0-8218-1960-7. CMS Conference Proceedings Series (29).
- Holden, Helge. (2000) Sturm-Liouville operators and Hilbert spaces: A brief introduction. Tapir Akademisk Forlag. 2000. ISBN 82-519-1565-1.
- Bulla, W.; Gesztesy, F.; Holden, Helge; Teschl, G.. (1998) Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies. 1998. ISBN 0-8218-0808-7.
- Hemmer, P.C.; Holden, Helge; Kjelstrup, Signe. (1996) The collected works of Lars Onsager : (with commentary). 1996. ISBN 981-02-2563-6.
- Holden, Helge; Øksendahl, Bernt; Ubøe, Jan; Zhang, Tusheng. (1996) Stochastic partial differential equations : a modeling, white noise functional approach. 1996. ISBN 0-8176-3928-4.
- Hemmer, P.C.; Holden, Helge; Kjelstrup, Signe. (1993) The Lars Onsager Symposium : Coupled Transport Processes and Phase Transitions : June 2-4, 1993, Trondheim, Norway. 1993. ISBN 82-7719-003-4. NTVA & 2-1993.
- 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. 1992.
- Albeverio, Sergio; Gesztesy, Friedrich; Høegh-Krohn, Raphael; Holden, Helge. (1991) Solvable models in quantum mechanics. 1991. ISBN 5-03-001905-7.
Teaching
Courses
Media
2020
- Holden, Helge; Lohndal, Terje. (2020) NTNU-professorer vil skille mellom god og dårlig midlertidighet. Khrono [Internett]. 2020-01-02.
2017
- Holden, Helge. (2017) Heidelberg Laureate Forum. NRK P2 Ekko [Radio]. 2017-03-13.
2016
- Holden, Helge. (2016) NTNU fusjon. NRK1 Midtnytt [TV]. 2016-01-04.
- Holden, Helge. (2016) NTNU fusjon. TV2 Nyhetskanalen [TV]. 2016-01-04.
- Holden, Helge; Andersen, Reidar. (2016) Utstillingen "Body Worlds Vital". NRK P1, God morgen Trøndelag [Radio]. 2016-11-16.
2014
- Holden, Helge. (2014) Om hipstere. NRK P1, Her og Nå [Radio]. 2014-11-06.
- Holden, Helge. (2014) Why I chose mathematics and advice to Korean students. Seoul, Korea [TV]. 2014-08-14.
2013
- Holden, Helge. (2013) Om pi (Internasjonal pi-dag). NRK P1 ("God ettermiddag") [Radio]. 2013-03-14.
2012
- Holden, Helge. (2012) om matematikk. God morgen Norge [TV]. 2012-05-21.
2010
- Holden, Helge. (2010) "Verdt å vite". NRK P2 [Radio]. 2010-03-18.
2007
- Holden, Helge. (2007) Hjemkjøp av Abelmanuskripter. Dagsrevyen NRK1 [TV]. 2007-12-06.
2005
- Holden, Helge. (2005) Abelprisvinneren 2005. Verdt å vite, NRK P2 [Radio]. 2005-03-17.
- Holden, Helge. (2005) Abelprisvinneren 2005. Schrodingers katt, NRK 1 [TV]. 2005-03-17.
- Holden, Helge. (2005) Peter D. Lax. Eksempler fra hans bidrag til matematikken. Abelprisen; www.abelprisen.no [Internett]. 2005-03-17.