2025

• Alibaud, Nathaël; Endal, Jørgen; Jakobsen, Espen R.; Mæhlen, Ola. (2025) Nonlocal degenerate parabolic-hyperbolic equations on bounded domains. Annales de l'Institut Henri Poincare. Analyse non linéar
  Academic article
• Chowdhury, Indranil; Jakobsen, Espen Robstad; Krupski, Miłosz. (2025) A strongly degenerate fully nonlinear mean field game with nonlocal diffusion. Journal of Differential Equations
  Academic article

2024

• Jakobsen, Espen Robstad; Rutkowski, Artur Jakub. (2024) Towards a Schauder theory for fractional viscous Hamilton-Jacobi equations. Pure and Applied Functional Analysis
  Academic article
• Chowdhury, Indranil; Jakobsen, Espen Robstad. (2024) Precise error bounds for numerical approximations of fractional HJB equations. IMA Journal of Numerical Analysis
  Academic article
• Chowdhury, Indranil; Jakobsen, Espen Robstad; Lien, Robin Østern. (2024) Discretization of Fractional Fully Nonlinear Equations by Powers of Discrete Laplacians. Dynamic Games and Applications
  Academic article
• Chowdhury, Indranil; Jakobsen, Espen Robstad; Krupski, Milosz. (2024) On fully nonlinear parabolic mean field games with nonlocal and local diffusions. SIAM Journal on Mathematical Analysis
  Academic article
• Alibaud, Nathaël; Letnes, Jørgen Endal; Jakobsen, Espen Robstad. (2024) Optimal stability results and nonlinear duality for L∞ entropy and L1 viscosity solutions. Journal des Mathématiques Pures et Appliquées
  Academic article

2023

• Teso, Félix del; Endal, Jørgen; Jakobsen, Espen Robstad; Vázquez, Juan Luis. (2023) Evolution driven by the infinity fractional Laplacian. Calculus of Variations and Partial Differential Equations
  Academic article

2022

• Chowdhury, Indranil; Ersland, Olav; Jakobsen, Espen Robstad. (2022) On Numerical Approximations of Fractional and Nonlocal Mean Field Games. Foundations of Computational Mathematics
  Academic article
• Teso, Félix del; Endal, Jørgen; Jakobsen, Espen Robstad. (2022) Uniform tail estimates and Lp(RN)-convergence for finite-difference approximations of nonlinear diffusion equations. Discrete and Continuous Dynamical Systems. Series A
  Academic article

2021

• 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 (PNAS)
  Reader opinion piece
• 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 (PNAS)
  Academic article
• Ersland, Olav; Jakobsen, Espen Robstad. (2021) On fractional and nonlocal parabolic Mean Field Games in the whole space. Journal of Differential Equations
  Academic article

2020

• Alibaud, Nathael; Teso, Félix del; Endal, Jørgen; Jakobsen, Espen Robstad. (2020) The Liouville theorem and linear operators satisfying the maximum principle. Journal des Mathématiques Pures et Appliquées
  Academic article

2019

• Biswas, Imran Habib; Chowdhury, Indranil; Jakobsen, Espen Robstad. (2019) On the rate of convergence for monotone numerical schemes for nonlocal Isaacs equations. SIAM Journal on Numerical Analysis
  Academic article
• Jakobsen, Espen Robstad; Picarelli, Athena; Reisinger, Christoph. (2019) Improved order 1/4 convergence for piecewise constant policy approximation of stochastic control problems. Electronic Communications in Probability
  Academic article
• Teso, Felix del; Endal, Jørgen; Jakobsen, Espen Robstad. (2019) Robust numerical methods for nonlocal (and local) equations of porous medium type. Part I: Theory. SIAM Journal on Numerical Analysis
  Academic article

2018

• Gesztesy, Fritz; Hanche-Olsen, Harald; Jakobsen, Espen Robstad; Lyubarskii, Yurii; Risebro, Nils Henrik; Seip, Kristian. (2018) Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume. European Mathematical Society (EMS) Press European Mathematical Society (EMS) Press
  Academic anthology/Conference proceedings
• Teso, Felix del; Endal, Jørgen; Jakobsen, Espen Robstad. (2018) On the well-posedness of solutions with finite energy for nonlocal equations of porous medium type.
  Academic chapter/article/Conference paper
• Chen, Linghua; Jakobsen, Espen Robstad. (2018) L1 semigroup generation for Fokker-Planck operators associated with general Levy driven SDEs. Discrete and Continuous Dynamical Systems. Series A
  Academic article
• Teso, Felix del; Endal, Jørgen; Jakobsen, Espen Robstad. (2018) Robust numerical methods for nonlocal (and local) equations of porous medium type. Part II: Schemes and experiments. SIAM Journal on Numerical Analysis
  Academic article

2017

• Teso, Félix del; Endal, Jørgen; Jakobsen, Espen Robstad. (2017) Uniqueness and properties of distributional solutions of nonlocal equations of porous medium type. Advances in Mathematics
  Academic article
• Mendez, Felix del Teso; Endal, Jørgen; Jakobsen, Espen Robstad. (2017) Sur des solutions distributionnelles de problemes locaux et non locaux de type milieux poreux. Comptes rendus. Mathematique
  Academic article
• Chasseigne, Emmanuel; Jakobsen, Espen Robstad. (2017) On nonlocal quasilinear equations and their local limits. Journal of Differential Equations
  Academic article
• Chen, Linghua; Jakobsen, Espen Robstad; Næss, Arvid. (2017) On numerical density approximations of solutions of SDEs with unbounded coefficients. Advances in Computational Mathematics
  Academic article

2016

• Chen, Linghua; Jakobsen, Espen Robstad; Næss, Arvid. (2016) The Numerical Path Integration Method for Stochastic Differential Equations. Norges teknisk-naturvitenskapelige universitet Norges teknisk-naturvitenskapelige universitet
  Doctoral dissertation

2014

• Barles, Guy; Georgelin, Christine; Jakobsen, Espen Robstad. (2014) On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations. Journal of Differential Equations
  Academic article
• Endal, Jørgen; Jakobsen, Espen Robstad. (2014) L1 contraction for bounded (nonintegrable) solutions of degenerate parabolic equations. SIAM Journal on Mathematical Analysis
  Academic article
• Droniou, Jerome; Jakobsen, Espen Robstad. (2014) A Uniformly Converging Scheme for Fractal Conservation Laws.
  Academic chapter/article/Conference paper
• Barles, Guy; Chasseigne, Emmanuel; Georgelin, Christine; Jakobsen, Espen Robstad. (2014) On Neumann type problems for nonlocal equations set in a half space. Transactions of the American Mathematical Society
  Academic article
• Alibaud, N; Cifani, Simone; Jakobsen, Espen Robstad. (2014) Optimal Continuous Dependence Estimates for Fractional Degenerate Parabolic Equations. Archive for Rational Mechanics and Analysis
  Academic article
• Debrabant, Kristian; Jakobsen, Espen Robstad. (2014) Semi-Lagrangian schemes for linear and fully non-linear Hamilton-Jacobi-Bellman equations.
  Academic chapter/article/Conference paper
• Cifani, Simone; Jakobsen, Espen Robstad. (2014) On numerical methods and error estimates for degenerate fractional convection-diffusion equations. Numerische Mathematik
  Academic article

2013

• Debrabant, Kristian; Jakobsen, Espen Robstad. (2013) Semi-Lagrangian schemes for linear and fully non-linear diffusion equations. Mathematics of Computation
  Academic article
• Jakobsen, Espen Robstad; Cifani, Simone. (2013) On the spectral vanishing viscosity method for periodic fractional conservation laws. Mathematics of Computation
  Academic article
• Debrabant, Kristian; Jakobsen, Espen Robstad. (2013) Semi-Lagrangian schemes for parabolic equations.
  Academic chapter/article/Conference paper

2012

• Alibaud, N; Cifani, Simone; Jakobsen, Espen Robstad. (2012) CONTINUOUS DEPENDENCE ESTIMATES FOR NONLINEAR FRACTIONAL CONVECTION-DIFFUSION EQUATIONS. SIAM Journal on Mathematical Analysis
  Academic article

2011

• Cifani, Simone; Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl. (2011) The discontinuous Galerkin method for fractal conservation laws. IMA Journal of Numerical Analysis
  Academic article
• Cifani, Simone; Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl. (2011) The discontinuous Galerkin method for fractional degenerate convection-diffusion equations. BIT Numerical Mathematics
  Academic article
• Cifani, Simone; Jakobsen, Espen Robstad. (2011) Entropy solution theory for fractional degenerate convection-diffusion equations. Annales de l'Institut Henri Poincare. Analyse non linéar
  Academic article

2010

• Biswas, IH; Jakobsen, Espen Robstad; Karlsen, KH. (2010) Viscosity Solutions for a System of Integro-PDEs and Connections to Optimal Switching and Control of Jump-Diffusion Processes. Applied Mathematics and Optimization
  Academic article
• Jakobsen, Espen Robstad. (2010) Monotone schemes.
  Academic chapter/article/Conference paper
• Biswas, Imran Habib; Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl. (2010) DIFFERENCE-QUADRATURE SCHEMES FOR NONLINEAR DEGENERATE PARABOLIC INTEGRO-PDE. SIAM Journal on Numerical Analysis
  Academic article

2009

• Camilli, F; Jakobsen, Espen Robstad. (2009) A FINITE ELEMENT LIKE SCHEME FOR INTEGRO-PARTIAL DIFFERENTIAL HAMILTON-JACOBI-BELLMAN EQUATIONS. SIAM Journal on Numerical Analysis
  Academic article

2008

• Biswas, Imran Habib; Jakobsen, Espen Robstad; Karlsen, Kenneth h.. (2008) Error estimates for a class of finite difference-quadrature schemes for fully nonlinear degenerate parabolic integro-PDEs. Journal of Hyperbolic Differential Equations
  Academic article
• Biswas, Imran Habib; Jakobsen, Espen Robstad; Chioma, C La; Karlsen, Kenneth h.. (2008) Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions. Numerische Mathematik
  Academic article
• Jakobsen, Espen Robstad; Georgelin, Christine. (2008) Continuous dependence results for non-linear Neumann type boundary value problems. Journal of Differential Equations
  Academic article

2007

• Biswas, Imran Habib; Jakobsen, Espen Robstad; Karlsen, Kenneth h.. (2007) Error estimates for finite difference-quadrature schemes for a class of nonlocal Bellman equations with variable diffusion. Contemporary Mathematics
  Academic article
• Barles, Guy; Jakobsen, Espen Robstad. (2007) Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations. Mathematics of Computation
  Academic article
• Biswas, Imran Habib; Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl. (2007) Error estimates for finite difference-quadrature schemes for a class of nonlocal Bellman equations with variable diffusion. Contemporary Mathematics
  Academic article

2006

• Jakobsen, Espen Robstad. (2006) On error bounds for monotone approximation schemes for multi-dimensional Isaacs equations. Asymptotic Analysis
  Academic article
• Jakobsen, Espen R.; Karlsen, Kenneth Hvistendahl. (2006) A "maximum principle for semicontinuous functions" applicable to integro-partial differential equations. NoDEA. Nonlinear differential equations and applications (Printed ed.)
  Academic article

2005

• Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl. (2005) Continuous dependence estimates for viscosity solutions of integro-PDEs. Journal of Differential Equations
  Academic article
• Jakobsen, Espen Robstad; Karlsen, Kenneth h.. (2005) Convergence rates for semi-discrete splitting approximations fordegenerate parabolic equations with source terms. BIT Numerical Mathematics
  Academic article
• Barles, Guy; Jakobsen, Espen Robstad. (2005) Error bounds for monotone approximation schemes for Hamilton-Jacobi-Bellman equations. SIAM Journal on Numerical Analysis
  Academic article

2004

• Jakobsen, Espen Robstad. (2004) W-2,W-infinity regularizing effect in a nonlinear, degenerate parabolic equation in one space dimension. Proceedings of the American Mathematical Society
  Academic article
• Jakobsen, Espen Robstad. (2004) On error bounds for approximation schemes for non-convex degenerate<BR/>elliptic equations. BIT Numerical Mathematics
  Academic article

2003

• Jakobsen, Espen Robstad. (2003) On the rate of convergence of approximation schemes for Bellman equations associated with optimal stopping time problems. Mathematical Models and Methods in Applied Sciences
  Academic article
• Jakobsen, E. R.; Karlsen, Kenneth Hvistendahl. (2003) A "maximum principle for semicontinuous functions" applicable to integro-partial differential equations. Universitetet i Oslo Universitetet i Oslo
  Report

2002

• Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl. (2002) Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations. Electronic Journal of Differential Equations
  Academic article
• Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl. (2002) Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate parabolic equations. Journal of Differential Equations
  Academic article
• Barles, Guy; Jakobsen, Espen Robstad. (2002) On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations. Modélisation mathématique et analyse numérique
  Academic article

2001

• Jakobsen, Espen R.; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. (2001) On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms. SIAM Journal on Numerical Analysis
  Academic article
• Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Risebro, Nils Henrik. (2001) On the convergence rate of operator splitting for Hamilton-Jacobi equations with source terms. SIAM Journal on Numerical Analysis
  Academic article