E. Jakobsen

发表

Difference-Quadrature Schemes for Nonlinear Degenerate Parabolic Integro-PDE

Kenneth H. Karlsen, Espen R. Jakobsen, Imran H. Biswas, 2009, SIAM J. Numer. Anal..

Continuous Dependence Estimates for Viscosity Solutions of Fully Nonlinear Degenerate Parabolic Equations

E. Jakobsen, K. Karlsen, 2002 .

The discontinuous Galerkin method for fractal conservation laws

E. Jakobsen, K. Karlsen, S. Cifani, 2009, 0906.1092.

CONTINUOUS DEPENDENCE ESTIMATES FOR VISCOSITY SOLUTIONS OF INTEGRO-PDES

E. Jakobsen, K. Karlsen, 2005 .

A “maximum principle for semicontinuous functions” applicable to integro-partial differential equations

E. Jakobsen, K. Karlsen, 2006 .

The discontinuous Galerkin method for fractional degenerate convection-diffusion equations

E. Jakobsen, K. Karlsen, S. Cifani, 2010, 1005.1507.

Entropy solution theory for fractional degenerate convection–diffusion equations

E. Jakobsen, S. Cifani, 2010, 1005.4938.

A numerical method for nonlinear fractional convection-diffusion equations

E. Jakobsen, S. Cifani, 2012 .

On fully nonlinear parabolic mean field games with examples of nonlocal and local diffusions

E. Jakobsen, I. Chowdhury, Miłosz Krupski, 2021, 2104.06985.

$L^1$ contraction for bounded (non-integrable) solutions of degenerate parabolic equations

E. Jakobsen, J. Endal, 2014, 1404.6418.

Continuous dependence results for Non-linear Neumann type boundary value problems

C. Georgelin, E. Jakobsen, 2008, 0807.1633.

$L^1$ semigroup generation for Fokker-Planck operators associated with general L\'evy driven SDEs

E. Jakobsen, Linghua Chen, 2018, 1801.03914.

Optimal and dual stability results for $L^1$ viscosity and $L^\infty$ entropy solutions

E. Jakobsen, Nathael Alibaud, J. Endal, 2019 .

Strong convergence of the numerical path integration method

E. Jakobsen, A. Naess, Linghua Chen, 2015 .

Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis

H. Hanche-Olsen, N. Risebro, Yurii Lyubarskii, 2018 .

Optimal Continuous Dependence Estimates for Fractional Degenerate Parabolic Equations

E. Jakobsen, Nathael Alibaud, Simone Cifani, 2014, Archive for Rational Mechanics and Analysis.

On numerical methods and error estimates for degenerate fractional convection–diffusion equations

E. Jakobsen, Simone Cifani, 2013, Numerische Mathematik.

Error bounds for monotone approximation schemes for parabolic Hamilton-Jacobi-Bellman equations

G. Barles, E. Jakobsen, 2006, Math. Comput..

Uniform tail estimates and $ L^p( {\mathbb{R}}^N) $-convergence for finite-difference approximations of nonlinear diffusion equations

E. Jakobsen, F. D. Teso, J. Endal, 2022, Discrete and Continuous Dynamical Systems.

On numerical density approximations of solutions of SDEs with unbounded coefficients

E. Jakobsen, A. Naess, Linghua Chen, 2017, Advances in Computational Mathematics.

Evolution driven by the infinity fractional Laplacian

E. Jakobsen, F. D. Teso, J. Endal, 2022, Calculus of Variations and Partial Differential Equations.

Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part I: Theory

Espen R. Jakobsen, F'elix del Teso, Jorgen Endal, 2018, SIAM J. Numer. Anal..

On Neumann Type Problems for nonlocal Equations set in a half Space

Guy Barles, Emmanuel Chasseigne, Espen Jakobsen, 2011, 1112.0476.

Construction of suitable weak solutions of the Navier-Stokes equations

Imran H. Biswas, Y. Ogura, E. Jakobsen, 2006 .

On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations

Guy Barles, Espen R. Jakobsen, Christine Georgelin, 2013, 1302.5568.

On numerical methods and error estimates for degenerate fractional convection–diffusion equations

Simone Cifani, Espen R. Jakobsen, E. Jakobsen, 2012, Numerische Mathematik.

Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model

N. Stenseth, H. Holden, E. Jakobsen, 2021, Proceedings of the National Academy of Sciences.

Error estimates for approximate solutions to Bellman equations associated with controlled jump-diffusions

Kenneth H. Karlsen, Espen R. Jakobsen, Claudia La Chioma, 2008, Numerische Mathematik.

Semi-Lagrangian schemes for linear and fully non-linear diffusion equations

Kristian Debrabant, Espen R. Jakobsen, K. Debrabant, 2009, Math. Comput..

On the convergence rate of approximation schemes for Hamilton-Jacobi-Bellman equations

Guy Barles, Espen R. Jakobsen, G. Barles, 2002 .

Uniform tail estimates and $ L^p( {\mathbb{R}}^N) $-convergence for finite-difference approximations of nonlinear diffusion equations

E. Jakobsen, J. Endal, F. Teso, 2022, Discrete and Continuous Dynamical Systems.

Optimal stability results and nonlinear duality for $L^\infty$ entropy and $L^1$ viscosity solutions

E. Jakobsen, Nathael Alibaud, J. Endal, 2018, 1812.02058.

Robust Numerical Methods for Nonlocal (and Local) Equations of Porous Medium Type. Part II: Schemes and Experiments

Espen R. Jakobsen, Jørgen Endal, Félix del Teso, 2018, SIAM J. Numer. Anal..

Robust numerical methods for local and nonlocal equations of porous medium type. Part I: Theory

Espen R. Jakobsen, Félix del Teso, E. Jakobsen, 2018 .

On distributional solutions of local and nonlocal problems of porous medium type

E. Jakobsen, J. Endal, F. Teso, 2017, 1706.05306.

On the well-posedness of solutions with finite energy for nonlocal equations of porous medium type

E. Jakobsen, J. Endal, F. Teso, 2016, 1610.02221.

Uniqueness and properties of distributional solutions of nonlocal equations of porous medium type

F'elix del Teso, Espen R. Jakobsen, Jorgen Endal, 2015, 1507.04659.

Optimal Continuous Dependence Estimates for Fractional Degenerate Parabolic Equations

Simone Cifani, Nathael Alibaud, Espen Jakobsen, 2013, 1307.1218.

Continuous Dependence Estimates for Nonlinear Fractional Convection-diffusion Equations

Simone Cifani, Espen R. Jakobsen, Nathael Alibaud, 2011, SIAM J. Math. Anal..

On the spectral vanishing viscosity method for periodic fractional conservation laws

Simone Cifani, Espen R. Jakobsen, E. Jakobsen, 2010, Math. Comput..

A Finite Element Like Scheme for Integro-Partial Differential Hamilton-Jacobi-Bellman Equations

Fabio Camilli, Espen R. Jakobsen, F. Camilli, 2009, SIAM J. Numer. Anal..

On nonlocal quasilinear equations and their local limits

E. Jakobsen, E. Chasseigne, 2015, 1503.06939.

Convergence Rates for Semi-Discrete Splitting Approximations for Degenerate Parabolic Equations with Source Terms

E. Jakobsen, K. Karlsen, 2005 .

On the Convergence Rate ofOperator Splitting for Hamilton-Jacobi Equations with Source Terms

Kenneth H. Karlsen, Espen R. Jakobsen, Nils Henrik Risebro, 2001, SIAM J. Numer. Anal..

On the Convergence Rate of Operator Splitting for Weakly Coupled Systems of Hamilton-Jacobi Equations

N. Risebro, E. Jakobsen, K. Karlsen, 2001 .

Viscosity Solutions for a System of Integro-PDEs and Connections to Optimal Switching and Control of Jump-Diffusion Processes

Espen R. Jakobsen, Imran H. Biswas, Kenneth H. Karlsen, 2010 .

The Liouville theorem and linear operators satisfying the maximum principle

E. Jakobsen, Nathael Alibaud, J. Endal, 2019, 1907.02495.

Characterization of nonlocal diffusion operators satisfying the Liouville theorem. Irrational numbers and subgroups of $\mathbb{R}^d$

E. Jakobsen, Nathael Alibaud, J. Endal, 2018, 1807.01843.

Error Bounds for Monotone Approximation Schemes for Hamilton-Jacobi-Bellman Equations

Guy Barles, Espen R. Jakobsen, G. Barles, 2005, SIAM J. Numer. Anal..

On Numerical Approximations of Fractional and Nonlocal Mean Field Games

E. Jakobsen, I. Chowdhury, Olav Ersland, 2021, Foundations of Computational Mathematics.

On fully nonlinear parabolic mean field games with examples of nonlocal and local diffusions

Indranil Chowdhury, Espen R. Jakobsen, Milosz Krupski, 2021, 2104.06985.

Improved order 1/4 convergence for piecewise constant policy approximation of stochastic control problems

Christoph Reisinger, Espen R. Jakobsen, Athena Picarelli, 2019, Electronic Communications in Probability.

ON THE RATE OF CONVERGENCE OF APPROXIMATION SCHEMES FOR BELLMAN EQUATIONS ASSOCIATED WITH OPTIMAL STOPPING TIME PROBLEMS

Espen R. Jakobsen, E. Jakobsen, 2003 .

On fully nonlinear parabolic mean field games with examples of nonlocal and local diffusions

E. Jakobsen, I. Chowdhury, Miłosz Krupski, 2021, 2104.06985.

ON FULLY NONLINEAR PARABOLIC MEAN FIELD GAMES WITH EXAMPLES OF NONLOCAL AND LOCAL DIFFUSIONS

E. Jakobsen, I. Chowdhury, Miłosz Krupski, 2021 .

The master equation for mean field game systems with fractional and nonlocal diffusions

E. Jakobsen, Artur Rutkowski, 2023, 2305.18867.

On fractional and nonlocal parabolic mean field games in the whole space

E. Jakobsen, Olav Ersland, 2021, Journal of Differential Equations.

On the Rate of Convergence for Monotone Numerical Schemes for Nonlocal Isaacs Equations

Indranil Chowdhury, Espen R. Jakobsen, Imran H. Biswas, 2017, SIAM J. Numer. Anal..

On error bounds for monotone approximation schemes for multi-dimensional Isaacs equations

E. Jakobsen, 2004, Asymptot. Anal..

On Error Bounds for Approximation Schemes for Non-Convex Degenerate Elliptic Equations

Espen R. Jakobsen, E. Jakobsen, 2004 .

On Classical Solutions Of Time-Dependent Fractional Mean Field Game Systems

E. Jakobsen, Olav Ersland, 2020, 2003.12302.

^{2,∞} regularizing effect in a nonlinear, degenerate parabolic equation in one space dimension

E. Jakobsen, 2004 .

Precise Error Bounds for Numerical Approximations of Fractional HJB EInquations

E. Jakobsen, I. Chowdhury, 2023, IMA Journal of Numerical Analysis.

A Uniformly Converging Scheme for Fractal Conservation Laws

Jérôme Droniou, Espen R. Jakobsen, E. Jakobsen, 2014 .

A convergent finite difference-quadrature scheme for the porous medium equation with nonlocal pressure

E. Jakobsen, F. Teso, 2023, ArXiv.

Discretization of fractional fully nonlinear equations by powers of discrete Laplacians

E. Jakobsen, Indranil Chowdhury, Robin Ostern Lien, 2024, ArXiv.

ERROR ESTIMATES FOR A CLASS OF FINITE DIFFERENCE-QUADRATURE SCHEMES FOR FULLY NONLINEAR DEGENERATE PARABOLIC INTEGRO-PDES

Espen R. Jakobsen, Imran H. Biswas, Kenneth H. Karlsen, 2008 .

ERROR ESTIMATES FOR FINITE DIFFERENCE-QUADRATURE SCHEMES FOR A CLASS OF NONLOCAL BELLMAN EQUATIONS WITH VARIABLE DIFFUSION COEFFICIENTS

Espen R. Jakobsen, Imran H. Biswas, Kenneth H. Karlsen, 2006 .

CONTINUOUS DEPENDENCE ESTIMATES FOR VISCOSITY SOLUTIONS OF FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS

E. Jakobsen, 2002 .

On numerical density approximations of solutions of SDEs with unbounded coefficients

Arvid Naess, Linghua Chen, Espen Robstad Jakobsen, 2015, Adv. Comput. Math..