Kenneth H. Karlsen

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All published works
Action Title Year Authors
+ Convergent Finite Difference Schemes for Stochastic Transport Equations 2025 Ulrik Skre Fjordholm
Kenneth H. Karlsen
Peter H. C. Pang
+ PDF Chat Yamada-Watanabe uniqueness results for SPDEs driven by Wiener and pure jump processes 2025 Kistosil Fahim
Erika Hausenblas
Kenneth H. Karlsen
+ PDF Chat Global semigroup of conservative weak solutions of the two-component Novikov equation 2025 Kenneth H. Karlsen
Yan Rybalko
+ On the viscosity approximation of conservation laws with non-crossing discontinuous flux 2024 Kenneth H. Karlsen
Darko Mitrović
Marko Nedeljkov
+ PDF On the well-posedness of the Cauchy problem for the two-component peakon system in $$C^k\cap W^{k,1}$$ 2024 Kenneth H. Karlsen
Yan Rybalko
+ PDF Chat Convergence of stochastic integrals with applications to transport equations and conservation laws with noise 2024 Kenneth H. Karlsen
Peter H. C. Pang
+ PDF Chat On the well-posedness of the Cauchy problem for the two-component peakon system in $C^k\cap W^{k,1}$ 2024 Kenneth H. Karlsen
Rybalko Ya
+ Global existence of dissipative solutions to the Camassa–Holm equation with transport noise 2024 Luca Galimberti
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
+ PDF Compactness estimates for difference schemes for conservation laws with discontinuous flux 2024 Kenneth H. Karlsen
John D. Towers
+ Well-Posedness of Stochastic Continuity Equations on Riemannian Manifolds 2024 Luca Galimberti
Kenneth H. Karlsen
+ Quantitative Compactness Estimates for Stochastic Conservation Laws 2024 Kenneth H. Karlsen
+ PDF Chat A dynamic capillarity equation with stochastic forcing on manifolds: A singular limit problem 2023 Kenneth H. Karlsen
Michael Kunzinger
Darko Mitrović
+ On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system 2023 Kenneth H. Karlsen
Yan Rybalko
+ Quantitative compactness estimates for stochastic conservation laws 2023 Kenneth H. Karlsen
+ Weak convergence of stochastic integrals 2023 Kenneth H. Karlsen
Peter H. C. Pang
+ A nonlocal Lagrangian traffic flow model and the zero-filter limit 2023 Giuseppe Maria Coclite
Kenneth H. Karlsen
Nils Henrik Risebro
+ On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system 2023 Kenneth H. Karlsen
Yan Rybalko
+ Compactness estimates for difference schemes for conservation laws with discontinuous flux 2023 Kenneth H. Karlsen
John D. Towers
+ Convergent finite difference schemes for stochastic transport equations 2023 Ulrik Skre Fjordholm
Kenneth H. Karlsen
Peter H. C. Pang
+ Stochastic electromechanical bidomain model 2023 Mostafa Bendahmane
Kenneth H. Karlsen
Fatima Mroue
+ Velocity averaging under minimal conditions for deterministic and stochastic kinetic equations with irregular drift 2023 Marko Erceg
Kenneth H. Karlsen
Darko Mitrović
+ PDF Global well-posedness of the viscous Camassa–Holm equation with gradient noise 2022 Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
+ Homogenization of stochastic conservation laws with multiplicative noise 2022 Hermano Frid
Kenneth H. Karlsen
Daniel Marroquin
+ Strong solutions of a stochastic differential equation with irregular random drift 2022 Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
+ Global well-posedness of the viscous Camassa--Holm equation with gradient noise 2022 Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
+ A dynamic capillarity equation with stochastic forcing on manifolds: a singular limit problem 2022 Kenneth H. Karlsen
Michael Kunzinger
Darko Mitrović
+ Global existence of dissipative solutions to the Camassa--Holm equation with transport noise 2022 Luca Galimberti
Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
+ Renormalization of stochastic continuity equations on Riemannian manifolds 2021 Luca Galimberti
Kenneth H. Karlsen
+ PDF Chat Strong solutions of a stochastic differential equation with irregular random drift 2021 Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
+ Well-posedness of stochastic continuity equations on Riemannian manifolds 2021 Luca Galimberti
Kenneth H. Karlsen
+ The Hunter–Saxton equation with noise 2020 Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
+ On the generalized almost periodic homogenization of stochastic conservation laws with multiplicative noise 2020 Hermano Frid
Kenneth H. Karlsen
Daniel Marroquin
+ The Hunter-Saxton equation with noise 2020 Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
+ The Hunter-Saxton equation with noise 2020 Helge Holden
Kenneth H. Karlsen
Peter H. C. Pang
+ Homogenization of Stochastic Conservation Laws with Multiplicative Noise 2020 Hermano Frid
Kenneth H. Karlsen
Daniel Marroquin
+ Renormalization of stochastic continuity equations on Riemannian manifolds 2019 Luca Galimberti
Kenneth H. Karlsen
+ PDF Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds 2019 Luca Galimberti
Kenneth H. Karlsen
+ PDF Numerical methods for conservation laws with rough flux 2019 Håkon Hoel
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds 2019 Luca Galimberti
Kenneth H. Karlsen
+ Stochastically forced cardiac bidomain model 2019 Mostafa Bendahmane
Kenneth H. Karlsen
+ PDF The cardiac bidomain model and homogenization 2019 Erik Grandelius
Kenneth H. Karlsen
+ Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds 2019 Luca Galimberti
Kenneth H. Karlsen
+ Renormalization of stochastic continuity equations on Riemannian manifolds 2019 Luca Galimberti
Kenneth H. Karlsen
+ The cardiac bidomain model and homogenization 2018 Erik Grandelius
Kenneth H. Karlsen
+ The initial-boundary-value problem for an Ostrovsky–Hunter type equation 2018 Giuseppe Maria Coclite
Lorenzo di Ruvo
Kenneth H. Karlsen
+ PDF Path-dependent convex conservation laws 2018 Håkon Hoel
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ Stochastically forced cardiac bidomain model 2018 Mostafa Bendahmane
Kenneth H. Karlsen
+ Numerical methods for conservation laws with rough flux. 2018 Håkon Hoel
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ The cardiac bidomain model and homogenization 2018 Erik Grandelius
Kenneth H. Karlsen
+ Stochastically forced cardiac bidomain model 2018 Mostafa Bendahmane
Kenneth H. Karlsen
+ Numerical methods for conservation laws with rough flux 2018 Håkon Hoel
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ PDF Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition 2017 Kenneth H. Karlsen
John D. Towers
+ Path-dependent convex conservation laws 2017 Håkon Hoel
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ PDF Analysis of a splitting method for stochastic balance laws 2017 Kenneth H. Karlsen
Erlend Briseid Storrøsten
+ PDF Convergence of Monotone Schemes for Conservation Laws with Zero-Flux Boundary Conditions 2017 Kenneth H. Karlsen
John D. Towers
+ PDF Practical Convergence Rates for Degenerate Parabolic Equations 2017 Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ Path-dependent convex conservation laws 2017 Håkon Hoel
Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ On stochastic conservation laws and Malliavin calculus 2016 Kenneth H. Karlsen
Erlend Briseid Storrøsten
+ Analysis of a splitting method for stochastic balance laws 2016 Erlend Briseid Storrøsten
Kenneth H. Karlsen
+ On a hyperbolic Keller-Segel system with degenerate nonlinear fractional diffusion 2016 Kenneth H. Karlsen
Süleyman Ulusoy
+ Analysis of a splitting method for stochastic balance laws 2016 Erlend Briseid Storrøsten
Kenneth H. Karlsen
+ PDF Chat Conservation laws driven by Lévy white noise 2015 Imran H. Biswas
Kenneth H. Karlsen
Ananta K. Majee
+ PDF On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions 2015 Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ On stochastic conservation laws and Malliavin calculus 2015 Kenneth H. Karlsen
Erlend Briseid Storrøsten
+ A note on the Camassa–Holm equation 2015 Giuseppe Maria Coclite
Kenneth H. Karlsen
+ On stochastic conservation laws and Malliavin calculus 2015 Kenneth H. Karlsen
Erlend Briseid Storrøsten
+ Periodic solutions of the Degasperis–Procesi equation: Well-posedness and asymptotics 2014 Giuseppe Maria Coclite
Kenneth H. Karlsen
+ On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions 2014 Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ Convergence rate of upwind finite difference methods for degenerate parabolic equations in several space dimensions 2014 Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ Conservation laws driven by L\'{e}vy white noise 2014 Imran H. Biswas
Kenneth H. Karlsen
Ananta K. Majee
+ 𝐿¹ error estimates for difference approximations of degenerate convection-diffusion equations 2014 Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ Conservation laws driven by Lévy white noise 2014 Imran H. Biswas
Kenneth H. Karlsen
Ananta K. Majee
+ On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions 2014 Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ Some Wellposedness Results for the Ostrovsky–Hunter Equation 2013 Giuseppe Maria Coclite
Lorenzo di Ruvo
Kenneth H. Karlsen
+ On the singular limit of a two‐phase flow equation with heterogeneities and dynamic capillary pressure 2013 Frederike Kissling
Kenneth H. Karlsen
+ PDF Operator Splitting for Well-Posed Active Scalar Equations 2013 Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
+ Well-posedness and Travelling Wave Analysis for a Strongly Degenerate Parabolic Aggregation Equation 2012 Fernando Betancourt
Raimund Bürger
Kenneth H. Karlsen
+ Hamiltonian Approximation of Entropy Solutions of the Burgers Equation 2012 Giuseppe Maria Coclite
Kenneth H. Karlsen
+ Nonlinear anisotropic elliptic and parabolic equations with variable exponents and $L^1$ data 2012 Mostafa Bendahmane
Kenneth H. Karlsen
Mazen Saad
+ PDF Operator splitting for two-dimensional incompressible fluid equations 2012 Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
+ L1 Error Estimates for Difference Approximations Of Degenerate Convection-Diffusion Equations 2012 Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ A note on entropy solutions for degenerate parabolic equations with 2012 Mostafa Bendahmane
Kenneth H. Karlsen
+ PDF Chat On Nonlinear Stochastic Balance Laws 2012 Gui‐Qiang Chen
Qian Ding
Kenneth H. Karlsen
+ Operator splitting for well-posed active scalar equations 2012 Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
+ A note on entropy solutions for degenerate parabolic equations with L<SUP align="right">1</SUP> &cap; L<SUP align="right">p</SUP> data 2012 Mostafa Bendahmane
Kenneth H. Karlsen
+ Analysis of a compressible gas-liquid model motivated by oil well control operations 2012 Steinar Evje
Kenneth H. Karlsen
+ PDF On an initial-boundary value problem for the hyperelastic rod wave equation 2012 Giuseppe Maria Coclite
Kenneth H. Karlsen
+ PDF Nonlinear Partial Differential Equations 2012 Helge Holden
Kenneth H. Karlsen
+ A note on entropy solutions for degenerate parabolic equations with L1∩Lp data 2012 Mostafa Bendahmane
Kenneth H. Karlsen
+ L1 Error Estimates for Difference Approximations Of Degenerate Convection-Diffusion Equations 2012 Kenneth H. Karlsen
Nils Henrik Risebro
Erlend Briseid Storrøsten
+ Operator splitting for well-posed active scalar equations 2012 Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
+ Nonlinear Partial Differential Equations : The Abel Symposium 2010 2012 Helge Holden
Kenneth H. Karlsen
+ PDF Chat An error estimate for the finite difference approximation to degenerate convection–diffusion equations 2011 Kenneth H. Karlsen
Ujjwal Koley
Nils Henrik Risebro
+ PDF Chat A convergent mixed method for the Stokes approximation of viscous compressible flow 2011 Kenneth H. Karlsen
Trygve K. Karper
+ PDF The discontinuous Galerkin method for fractional degenerate convection-diffusion equations 2011 Simone Cifani
Espen R. Jakobsen
Kenneth H. Karlsen
+ Operator splitting for two-dimensional incompressible fluid equations 2011 Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
+ PDF A Theory of L 1-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux 2011 Boris Andreïanov
Kenneth H. Karlsen
Nils Henrik Risebro
+ $L^\infty$ Solutions for a Model of Nonisothermal Polytropic Gas Flow 2011 Hermano Frid
Helge Holden
Kenneth H. Karlsen
+ PDF A duality approach to the fractional Laplacian with measure data 2011 Kenneth H. Karlsen
Francesco Petitta
Süleyman Ulusoy
+ PDF Convergence of discrete duality finite volume schemes for the cardiac bidomain model 2011 Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
Charles Pierre
+ An error estimate for the finite difference approximation to degenerate convection -diffusion equations 2011 Kenneth H. Karlsen
Ujjwal Koley
Nils Henrik Risebro
+ PDF A strongly degenerate parabolic aggregation equation 2011 Fernando Betancourt
Raimund Bürger
Kenneth H. Karlsen
+ Operator splitting for two-dimensional incompressible fluid equations 2011 Helge Holden
Kenneth H. Karlsen
Trygve K. Karper
+ PDF Operator splitting for the KdV equation 2010 Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
Terence Tao
+ PDF Convergence of a mixed method for a semi-stationary compressible Stokes system 2010 Kenneth H. Karlsen
Trygve K. Karper
+ $L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy 2010 Hermano Frid
Helge Holden
Kenneth H. Karlsen
+ A strongly degenerate parabolic aggregation equation 2010 Fernando Betancourt
Raimund Bürger
Kenneth H. Karlsen
+ PDF Chat The discontinuous Galerkin method for fractal conservation laws 2010 Simone Cifani
Espen R. Jakobsen
Kenneth H. Karlsen
+ PDF Chat DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS 2010 Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
+ Nonlinear partial differential equations and hyperbolic wave phenomena : 2008-2009 Research Program on Nonlinear Partial Differential Equations, Centre for Advanced Study of the Norwegian Academy of Sciences and Letters, Oslo, Norway 2010 Norske videnskaps-akademi
Helge Holden
Kenneth H. Karlsen
+ Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena 2010 Helge Holden
Kenneth H. Karlsen
+ PDF On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux 2010 Raimund Bürger
Kenneth H. Karlsen
John D. Towers
+ PDF On vanishing viscosity approximation of conservation laws with discontinuous flux 2010 Boris Andreïanov
Kenneth H. Karlsen
Nils Henrik Risebro
+ PDF A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow 2010 Kenneth H. Karlsen
Trygve K. Karper
+ PDF Chat Difference-Quadrature Schemes for Nonlinear Degenerate Parabolic Integro-PDE 2010 Imran H. Biswas
Espen R. Jakobsen
Kenneth H. Karlsen
+ Convergence of discrete duality finite volume schemes for the cardiac bidomain model 2010 Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
Charles Pierre
+ PDF Well-posedness and blow-up phenomena for a modified two-component Camassa-Holm equation 2010 Chunxia Guan
Kenneth H. Karlsen
Zhaoyang Yin
+ $L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy 2010 Hermano Frid
Helge Holden
Kenneth H. Karlsen
+ A strongly degenerate parabolic aggregation equation 2010 Fernando Betancourt
Raimund Bürger
Kenneth H. Karlsen
+ PDF Viscosity Solutions for a System of Integro-PDEs and Connections to Optimal Switching and Control of Jump-Diffusion Processes 2009 Imran H. Biswas
Espen R. Jakobsen
Kenneth H. Karlsen
+ PDF Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function 2009 Helge Holden
Kenneth H. Karlsen
Darko Mitrović
Evgeny Yu. Panov
+ Initial–boundary value problems for conservation laws with source terms and the Degasperis–Procesi equation 2009 Giuseppe Maria Coclite
Kenneth H. Karlsen
Young‐Sam Kwon
+ PDF Stable upwind schemes for the magnetic induction equation 2009 Franz Fuchs
Kenneth H. Karlsen
S. Mishra
Nils Henrik Risebro
+ Well-posedness results for triply nonlinear degenerate parabolic equations 2009 Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
Stanislas Ouaro
+ Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations 2009 Boris Andreïanov
Mostafa Bendahmane
Kenneth H. Karlsen
+ Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations 2009 Kenneth H. Karlsen
Süleyman Ulusoy
+ PDF Convergent finite element methods for compressible barotropic Stokes systems 2009 Kenneth H. Karlsen
Trygve K. Karper
+ A convergent mixed method for the Stokes approximation of viscous compressible flow 2009 Kenneth H. Karlsen
Trygve K. Karper
+ PDF An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections 2009 Raimund Bürger
Kenneth H. Karlsen
John D. Towers
+ Global weak solutions for a viscous liquid-gas model with singular pressure law 2009 Steinar Evje
Kenneth H. Karlsen
+ PDF Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function 2009 Helge Holden
Kenneth H. Karlsen
Darko Mitrović
+ Difference-quadrature schemes for nonlinear degenerate parabolic integro-PDE 2009 Imran H. Biswas
Espen R. Jakobsen
Kenneth H. Karlsen
+ Convergence of a mixed method for a semi-stationary compressible Stokes system 2009 Kenneth H. Karlsen
Trygve K. Karper
+ Operator splitting for the KdV equation 2009 Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
Terence Tao
+ A convergent nonconforming finite element method for compressible Stokes flow 2009 Kenneth H. Karlsen
Trygve K. Karper
+ Convergence of Vanishing Viscosity Approximations of 2 x 2 Triangular Systems of Multi-Dimensional Conservation Laws 2009 Giuseppe Maria Coclite
Kenneth H. Karlsen
Suyash Narayan Mishra
Nils Henrik Risebro
+ Semi-Godunov schemes for multiphase flows in porous media 2008 Kenneth H. Karlsen
Siddhartha Mishra
Nils Henrik Risebro
+ Identification of diffusion parameters in a nonlinear convection–diffusion equation using the augmented Lagrangian method 2008 Trygve Kastberg Nilssen
Kenneth H. Karlsen
Trond Mannseth
Xue–Cheng Tai
+ PDF Convergence of finite volume schemes for triangular systems of conservation laws 2008 Kenneth H. Karlsen
Siddhartha Mishra
Nils Henrik Risebro
+ PDF Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation 2008 Kenneth H. Karlsen
Siddhartha Mishra
Nils Henrik Risebro
+ PDF Well-posedness of higher-order Camassa–Holm equations 2008 Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
+ PDF Chat A convergent finite-difference method for a nonlinear variational wave equation 2008 Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
+ PDF ERROR ESTIMATES FOR A CLASS OF FINITE DIFFERENCE-QUADRATURE SCHEMES FOR FULLY NONLINEAR DEGENERATE PARABOLIC INTEGRO-PDES 2008 Imran H. Biswas
Espen R. Jakobsen
Kenneth H. Karlsen
+ Conservation laws with discontinuous flux: a short introduction 2008 Raimund Bürger
Kenneth H. Karlsen
+ PDF An explicit finite difference scheme for the Camassa-Holm equation 2008 Giuseppe Maria Coclite
Kenneth H. Karlsen
Nils Henrik Risebro
+ Bounded solutions for the Degasperis-Procesi equation 2008 Giuseppe Maria Coclite
Kenneth H. Karlsen
+ PDF A Convergent Finite Difference Scheme for the Camassa–Holm Equation with General $H^1$ Initial Data 2008 Giuseppe Maria Coclite
Kenneth H. Karlsen
Nils Henrik Risebro
+ Global Weak Solutions for a Shallow Water Equation 2008 Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
+ A gradient reconstruction formula for nite volume schemes and discrete duality 2008 Mostafa Bendahmane
Boris Andreïanov
Kenneth H. Karlsen
+ An explicit finite difference scheme for the Camassa-Holm equation 2008 Giuseppe Maria Coclite
Kenneth H. Karlsen
Nils Henrik Risebro
+ Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation 2008 G. C. Coclite
Kenneth H. Karlsen
Young‐Sam Kwon
+ Convergent finite element methods for compressible barotropic Stokes systems 2008 Kenneth H. Karlsen
Trygve K. Karper
+ Numerical schemes for kinematic flows with discontinuous flux 2007 Raimund Bürger
Antonio García
Kenneth H. Karlsen
John D. Towers
+ PDF Global existence of weak solutions for a viscous two-phase model 2007 Steinar Evje
Kenneth H. Karlsen
+ Discontinuous solutions for the Degasperis-Procesi equation 2007 Giuseppe Maria Coclite
Kenneth H. Karlsen
+ Anisotropic Doubly Nonlinear Degenerate Parabolic Equations 2007 Mostafa Bendahmane
Kenneth H. Karlsen
+ PDF A large-time-stepping scheme for balance equations 2007 Kenneth H. Karlsen
Siddhartha Mishra
Nils Henrik Risebro
+ PDF Semi-Godunov schemes for general triangular systems of conservation laws 2007 Kenneth H. Karlsen
Siddhartha Mishra
Nils Henrik Risebro
+ PDF ON A TWO-SIDEDLY DEGENERATE CHEMOTAXIS MODEL WITH VOLUME-FILLING EFFECT 2007 Mostafa Bendahmane
Kenneth H. Karlsen
José Miguel Urbano
+ PDF Numerical schemes for computing discontinuous solutions of the Degasperis Procesi equation 2007 Giuseppe Maria Coclite
Kenneth H. Karlsen
Nils Henrik Risebro
+ PDF Convergent difference schemes for the Hunter–Saxton equation 2007 Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
+ PDF On the existence and compactness of a two-dimensional resonant system of conservation laws 2007 Kenneth H. Karlsen
M. Rascle
Eitan Tadmor
+ A convergent finite difference method for a nonlinear variational wave equation 2007 Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
+ Error estimates for finite difference-quadrature schemes for a class of nonlocal Bellman equations with variable diffusion 2007 Imran H. Biswas
Espen R. Jakobsen
Kenneth H. Karlsen
+ On the uniqueness of discontinuous solutions to the Degasperis–Procesi equation 2006 Giuseppe Maria Coclite
Kenneth H. Karlsen
+ PDF H1-perturbations of Smooth Solutions for a Weakly Dissipative Hyperelastic-rod Wave Equation 2006 Mostafa Bendahmane
Giuseppe Maria Coclite
Kenneth H. Karlsen
+ PDF On the Existence and Compactness of a Two-Dimensional Resonant System of Conservation Laws 2006 Kenneth H. Karlsen
M. Rascle
Eitan Tadmor
+ PDF A Singular Limit Problem for Conservation Laws Related to the Camassa–Holm Shallow Water Equation 2006 Giuseppe Maria Coclite
Kenneth H. Karlsen
+ On an extended clarifier-thickener model with singular source and sink terms 2006 Raimund Bürger
Antonio García
Kenneth H. Karlsen
John D. Towers
+ Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points 2006 Raimund Bürger
F. Concha
Kenneth H. Karlsen
Ariel Narváez
+ ANISOTROPIC NONLINEAR ELLIPTIC SYSTEMS WITH MEASURE DATA AND ANISOTROPIC HARMONIC MAPS INTO SPHERES 2006 Mostafa Bendahmane
Kenneth H. Karlsen
+ On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition 2006 Raimund Bürger
Hermano Frid
Kenneth H. Karlsen
+ A SEMIGROUP OF SOLUTIONS FOR THE DEGASPERIS-PROCESI EQUATION 2006 Giuseppe Maria Coclite
Kenneth H. Karlsen
+ PDF None 2006 Gui‐Qiang Chen
Kenneth H. Karlsen
+ On the well-posedness of the Degasperis–Procesi equation 2006 Giuseppe Maria Coclite
Kenneth H. Karlsen
+ PDF A “maximum principle for semicontinuous functions” applicable to integro-partial differential equations 2006 Espen R. Jakobsen
Kenneth H. Karlsen
+ PDF Renormalized solutions of an anisotropic reaction-diffusion-advection system with $L^1$ data 2006 Mostafa Bendahmane
Kenneth H. Karlsen
+ PDF Hyperbolic-elliptic models for well-reservoir flow 2006 Steinar Evje
Kenneth H. Karlsen
+ ON A FINITE DIFFERENCE SCHEME FOR A BEELER-REUTER BASED MODEL OF CARDIAC ELECTRICAL ACTIVITY 2006 Monica Hanslien
Kenneth H. Karlsen
Aslak Tveito
Xue–Cheng Tai
+ ERROR ESTIMATES FOR FINITE DIFFERENCE-QUADRATURE SCHEMES FOR A CLASS OF NONLOCAL BELLMAN EQUATIONS WITH VARIABLE DIFFUSION COEFFICIENTS 2006 Imran H. Biswas
Espen R. Jakobsen
Kenneth H. Karlsen
+ Notes on weak convergence (MAT4380 - Spring 2006) 2006 Kenneth H. Karlsen
+ On the existence and compactness of a two-dimensional resonant system of conservation laws 2006 Kenneth H. Karlsen
M. Rascle
Eitan Tadmor
+ A Maximum Principle for an Explicit Finite Difference Scheme Approximating the Hodgkin-Huxley Model 2005 Monica Hanslien
Kenneth H. Karlsen
Aslak Tveito
+ A relaxation scheme forcontinuous sedimentation in ideal clarifier-thickener units 2005 Raimund Bürger
Kenneth H. Karlsen
Nils Henrik Risebro
+ Convergence Rates for Semi-Discrete Splitting Approximations for Degenerate Parabolic Equations with Source Terms 2005 Espen R. Jakobsen
Kenneth H. Karlsen
+ Nonlinear Anisotropic Elliptic and Parabolic Equations in RN with Advection and Lower Order Terms and Locally Integrable Data 2005 Mostafa Bendahmane
Kenneth H. Karlsen
+ PDF Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation 2005 Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
+ PDF Wellposedness for a parabolic-elliptic system 2005 Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
+ PDF Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients 2005 Gui‐Qiang Chen
Kenneth H. Karlsen
+ RENORMALIZED SOLUTIONS OF AN ANISOTROPIC REACTION-DIFFUSION-ADVECTION SYSTEM WITH L¹ DATA MODELING THE PROPAGATION OF AN EPIDEMIC DISEASE 2005 Mostafa Bendahmane
Kenneth H. Karlsen
+ PDF Uniqueness of entropy solutions for doubly nonlinear anisotropic degenerate parabolic equations 2005 Mostafa Bendahmane
Kenneth H. Karlsen
+ 𝐿¹–framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations 2004 Gui‐Qiang Chen
Kenneth H. Karlsen
+ PDF CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME AND STABILITY FOR CONSERVATION LAWS WITH A DISCONTINUOUS SPACE-TIME DEPENDENT FLUX 2004 Kenneth H. Karlsen
John D. Towers
+ PDF Well-posedness in BV t and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units 2004 Reinhard B�rger
Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
+ PDF FRONT TRACKING FOR SCALAR BALANCE EQUATIONS 2004 Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
+ Monotone difference approximations for the simulation of clarifier-thickener units 2004 Raimund Bürger
Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
+ PDF Renormalized Entropy Solutions for Quasi-linear Anisotropic Degenerate Parabolic Equations 2004 Mostafa Bendahmane
Kenneth H. Karlsen
+ WELLPOSEDNESS OF SOLUTIONS OF A PARABOLIC-ELLIPTIC SYSTEM 2004 Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
+ PDF A relaxation scheme for conservation laws with a discontinuous coefficient 2003 Kenneth H. Karlsen
Christian Klingenberg
Nils Henrik Risebro
+ Central schemes and systems of conservation laws with discontinuous coefficients modeling gravity separation of polydisperse suspensions 2003 Stefan Berres
Raimund Bürger
Kenneth H. Karlsen
+ QUASI MONTE–CARLO EVALUATION OF SENSITIVITIES OF OPTIONS IN COMMODITY AND ENERGY MARKETS 2003 Fred Espen Benth
Lars O. Dahl
Kenneth H. Karlsen
+ Numerical methods for the simulation of continuous sedimentation in ideal clarifier-thickener units 2003 Raimund Bürger
Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
+ A mathematical model for batch and continuous thickening of flocculated suspensions in vessels with varying cross-section 2003 Raimund Bürger
João Jorge Ribeiro Damasceno
Kenneth H. Karlsen
+ On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations 2003 Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
+ A front tracking approach to a model of continuous sedimentation in ideal clarifier–thickener units 2003 Raimund Bürger
Kenneth H. Karlsen
Christian Klingenberg
Nils Henrik Risebro
+ Relaxation Schemes for Conservation Laws with Discontinuous Coefficients 2003 Kenneth H. Karlsen
Christian Klingenberg
Nils Henrik Risebro
+ RENORMALIZED ENTROPY SOLUTIONS FOR QUASILINEAR ANISOTROPIC DEGENERATE PARABOLIC EQUATIONS 2003 Mostafa Bendahmane
Kenneth H. Karlsen
+ PDF On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients 2003 Kenneth H. Karlsen
Nils Henrik Risebro
+ Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression 2003 Elmer M. Tory
Kenneth H. Karlsen
Raimund Bürger
Stefan Berres
+ On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area 2003 Raimund Bürger
Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
+ Recent advances in conservation laws with discontinuous flux and clarifier-thickener models 2003 Raimund Bürger
Kenneth H. Karlsen
+ L¹-FRAMEWORK FOR CONTINUOUS DEPENDENCE AND ERROR ESTIMATES FOR QUASILINEAR ANISOTROPIC DEGENERATE PARABOLIC EQUATIONSL¹-FRAMEWORK FOR CONTINUOUS DEPENDENCE AND ERROR ESTIMATES FOR QUASILINEAR ANISOTROPIC DEGENERATE PARABOLIC EQUATIONS 2003 Gui‐Qiang Chen
Kenneth H. Karlsen
+ L¹ STABILITY FOR ENTROPY SOLUTIONS OF NONLINEAR DEGENERATE PARABOLIC CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS 2003 Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
+ An error estimate for viscous approximate solutions of degenerate parabolic equations 2003 Steinar Evje
Kenneth H. Karlsen
+ A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations 2002 Kenneth H. Karlsen
Mario Ohlberger
+ Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient 2002 Kenneth H. Karlsen
+ On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient 2002 Kenneth H. Karlsen
Nils Henrik Risebro
+ PDF A note on front tracking and the equivalence between viscosity solutions of Hamilton–Jacobi equations and entropy solutions of scalar conservation laws 2002 Kenneth H. Karlsen
Nils Henrik Risebro
+ Continuous Dependence Estimates for Viscosity Solutions of Fully Nonlinear Degenerate Parabolic Equations 2002 Espen R. Jakobsen
Kenneth H. Karlsen
+ PDF Continuous dependence estimates for viscosity solutions of fully nonlinear degenerate elliptic equations 2002 Espen R. Jakobsen
Kenneth H. Karlsen
+ High-resolution hybrid primitive–conservative upwind schemes for the drift flux model 2002 Kjell Kåre Fjelde
Kenneth H. Karlsen
+ PDF On a Free Boundary Problem for a Strongly Degenerate Quasi-Linear Parabolic Equation with an Application to a Model of Pressure Filtration 2002 Raimund Bürger
Hermano Frid
Kenneth H. Karlsen
+ PDF An Error Estimate for Viscous Approximate Solutions of Degenerate Parabolic Equations 2002 Steinar Evje
Kenneth H. Karlsen
+ ON DERIVATIVES OF CLAIMS IN COMMODITY AND ENERGY MARKETS USING A MALLIAVIN APPROACH 2002 Fred Espen Benth
Lars O. Dahl
Kenneth H. Karlsen
+ PDF Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients 2001 Kenneth H. Karlsen
Nils Henrik Risebro
+ PDF On the Convergence Rate of Operator Splitting for Weakly Coupled Systems of Hamilton-Jacobi Equations 2001 Espen R. Jakobsen
Kenneth H. Karlsen
Nils Henrik Risebro
+ A Strongly Degenerate Convection-diffusion Problem Modeling Centrifugation of Flocculated Suspensions 2001 Raimund Bürger
Kenneth H. Karlsen
+ None 2001 Vidar Haugse
Kenneth H. Karlsen
Knut–Andreas Lie
Jostein R. Natvig
+ On the Convergence Rate ofOperator Splitting for Hamilton--Jacobi Equations with Source Terms 2001 Espen R. Jakobsen
Kenneth H. Karlsen
Nils Henrik Risebro
+ A Continuous Dependence Result for Nonlinear Degenerate Parabolic Equations with Spatially Dependent Flux Function 2001 Steinar Evje
Kenneth H. Karlsen
Nils Henrik Risebro
+ Operator Splitting for Convection-Dominated Nonlinear Partial Differential Equations 2001 Helge Holden
Kenneth H. Karlsen
Knut–Andreas Lie
Nils Henrik Risebro
+ A Hybrid Primitive-Conservative Upwind Scheme for the Drift Flux Model 2001 Kjell Kåre Fjelde
Kenneth H. Karlsen
+ Numerical methods for the simulation of the settling of flocculated suspensions 2000 Raimund Bürger
Steinar Evje
Kenneth H. Karlsen
Knut–Andreas Lie
+ PDF Discrete approximations of BV solutions to doubly nonlinear degenerate parabolic equations 2000 Steinar Evje
Kenneth H. Karlsen
+ On Strongly Degenerate Convection–Diffusion Problems Modeling Sedimentation–Consolidation Processes 2000 Raimund Bürger
Steinar Evje
Kenneth H. Karlsen
+ Front Tracking and Operator Splitting for Nonlinear Degenerate Convection-Diffusion Equations 2000 Steinar Evje
Kenneth H. Karlsen
Knut–Andreas Lie
Nils Henrik Risebro
+ Corrected Operator Splitting for Nonlinear Parabolic Equations 2000 Kenneth H. Karlsen
Nils Henrik Risebro
+ Monotone Difference Approximations Of <i>BV</i> Solutions To Degenerate Convection-Diffusion Equations 2000 Steinar Evje
Kenneth H. Karlsen
+ Viscous splitting approximation of mixed hyperbolic-parabolic convection-diffusion equations 1999 Steinar Evje
Kenneth H. Karlsen
+ Operator Splitting Methods for Generalized Korteweg–De Vries Equations 1999 Helge Holden
Kenneth H. Karlsen
Nils Henrik Risebro
+ PDF Degenerate Convection-Diffusion Equations and Implicit Monotone Difference Schemes 1999 Steinar Evje
Kenneth H. Karlsen
+ A Front Tracking Method for Conservation Laws with Boundary Conditions 1999 Kenneth H. Karlsen
Knut–Andreas Lie
Nils Henrik Risebro
+ None 1998 Kari Brusdal
Håkon Dahle
Kenneth H. Karlsen
Trond Mannseth
+ An operator splitting method for nonlinear convection-diffusion equations 1997 Kenneth H. Karlsen
Nils Henrik Risebro
+ A Note on Viscous Splitting of Degenerate Convection-Diffusion Equations 1997 Steinar Evje
Kenneth H. Karlsen
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES 1970 S N Kružkov
53
+ Entropy Solutions for Nonlinear Degenerate Problems 1999 José Carrillo
37
+ L¹ STABILITY FOR ENTROPY SOLUTIONS OF NONLINEAR DEGENERATE PARABOLIC CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS 2003 Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
29
+ CAUCHY'S PROBLEM FOR DEGENERATE SECOND ORDER QUASILINEAR PARABOLIC EQUATIONS 1969 Aizik Volpert
S I Hudjaev
29
+ PDF Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function 1992 Tore Gimse
Nils Henrik Risebro
28
+ Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux 2000 John D. Towers
28
+ PDF On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients 2003 Kenneth H. Karlsen
Nils Henrik Risebro
28
+ A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case 2001 John D. Towers
25
+ Convergence of a finite volume scheme for nonlinear degenerate parabolic equations 2002 Robert Eymard
Thierry Gallouït
Raphaèle Herbin
Anthony Michel
25
+ Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior 1995 Christian Klingenberg
Nils Henrik Risebro
24
+ Continuous Dependence on the Nonlinearities of Solutions of Degenerate Parabolic Equations 1999 Bernardo Cockburn
Gustaf Gripenberg
24
+ Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient 2002 Kenneth H. Karlsen
23
+ Monotone Difference Approximations Of <i>BV</i> Solutions To Degenerate Convection-Diffusion Equations 2000 Steinar Evje
Kenneth H. Karlsen
22
+ On Strongly Degenerate Convection–Diffusion Problems Modeling Sedimentation–Consolidation Processes 2000 Raimund Bürger
Steinar Evje
Kenneth H. Karlsen
21
+ PDF Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients 2001 Kenneth H. Karlsen
Nils Henrik Risebro
20
+ PDF Chat An integrable shallow water equation with peaked solitons 1993 Roberto Camassa
Darryl D. Holm
20
+ First order quasilinear equations with boundary conditions 1979 Claude Bardos
Alain Leroux
Jean-Claude Nédélec
18
+ Nonhomogeneous Dirichlet Problems for Degenerate Parabolic-Hyperbolic Equations 2002 Corrado Mascia
Alessio Porretta
Andrea Terracina
18
+ PDF <b><i>A posteriori</i></b>error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations 2001 Mario Ohlberger
18
+ PDF Compact sets in the spaceL p (O,T; B) 1986 Jacques Simon
18
+ Ordinary differential equations, transport theory and Sobolev spaces 1989 Ronald J. DiPerna
Pierre Louis Lions
17
+ Stability of a Resonant System of Conservation Laws Modeling Polymer Flow with Gravitation 2001 Christian Klingenberg
Nils Henrik Risebro
17
+ PDF Scalar conservation laws with stochastic forcing 2010 Arnaud Debussche
Julien Vovelle
17
+ Compensated compactness and applications to partial differential equations 1979 Luc Tartar
17
+ PDF Global Weak Solutions to a Generalized Hyperelastic-rod Wave Equation 2005 Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
16
+ Global solution of the cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws 1982 Blake Temple
16
+ On the weak solutions to a shallow water equation 2000 Zhouping Xin
Ping Zhang
16
+ A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations 2002 Kenneth H. Karlsen
Mario Ohlberger
16
+ OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS 2005 Adimurthi
Siddhartha Mishra
G. D. Veerappa Gowda
16
+ On Scalar Conservation Laws with Point Source and Discontinuous Flux Function 1995 S. Diehl
16
+ PDF Wellposedness for a parabolic-elliptic system 2005 Giuseppe Maria Coclite
Helge Holden
Kenneth H. Karlsen
16
+ PDF Monotone difference approximations for scalar conservation laws 1980 Michael G. Crandall
Andrew J. Majda
15
+ Stochastic scalar conservation laws 2008 Jin Feng
David Nualart
15
+ A numerical method for first order nonlinear scalar conservation laws in one-dimension 1988 Helge Holden
Lars Holden
Raphaël Høegh-Krohn
15
+ PDF ANALYSIS AND APPROXIMATION OF A SCALAR CONSERVATION LAW WITH A FLUX FUNCTION WITH DISCONTINUOUS COEFFICIENTS 2003 Nicolas Seguin
Julien Vovelle
15
+ A front tracking approach to a model of continuous sedimentation in ideal clarifier–thickener units 2003 Raimund Bürger
Kenneth H. Karlsen
Christian Klingenberg
Nils Henrik Risebro
15
+ PDF Chat On Nonlinear Stochastic Balance Laws 2012 Gui‐Qiang Chen
Qian Ding
Kenneth H. Karlsen
15
+ PDF Partial Differential Equations 1988 Shiing-Shen Chern
15
+ PDF Well-posedness in BV t and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units 2004 Reinhard B�rger
Kenneth H. Karlsen
Nils Henrik Risebro
John D. Towers
14
+ On a stochastic scalar conservation law 2003 Jong Uhn Kim
14
+ Stability of Entropy Solutions to the Cauchy Problem for a Class of Nonlinear Hyperbolic-Parabolic Equations 2001 Gui‐Qiang Chen
Emmanuele DiBenedetto
14
+ PDF A kinetic formulation of multidimensional scalar conservation laws and related equations 1994 Pierre‐Louis Lions
Benoı̂t Perthame
Eitan Tadmor
14
+ PDF Diffusive BGK approximations for nonlinear multidimensional parabolic equations 2000 François Bouchut
F. R. Guarguaglini
Roberto Natalini
14
+ Global Weak Solutions for a Shallow Water Equation 2000 Adrian Constantin
Luc Molinet
14
+ Solution forte entropique de lois scalaires hyperboliques-paraboliques dégénérées 1999 Émilie Rouvre
Gérard Gagneux
14
+ THE SPACES $ BV$ AND QUASILINEAR EQUATIONS 1967 Aizik Volpert
14
+ Degenerate parabolic stochastic partial differential equations: Quasilinear case 2016 Arnaud Debussche
Martina Hofmanová
Julien Vovelle
14
+ PDF Chat Well-posedness of the transport equation by stochastic perturbation 2009 Franco Flandoli
Massimiliano Gubinelli
Enrico Priola
13
+ PDF CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME AND STABILITY FOR CONSERVATION LAWS WITH A DISCONTINUOUS SPACE-TIME DEPENDENT FLUX 2004 Kenneth H. Karlsen
John D. Towers
13
+ A conservation Law with Point Source and Discontinuous Flux Function Modelling Continuous Sedimentation 1996 S. Diehl
13