2024
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1. |
Galimberti, Luca; Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung. Global existence of dissipative solutions to the Camassa–Holm equation with transport noise. Journal of Differential Equations 2024 ;Volume 387. p. 1-103 NTNU UiO
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2. |
Galimberti, Luca; Karlsen, Kenneth Aksel Hvistendahl. Well-Posedness of Stochastic Continuity Equations on Riemannian Manifolds. Chinese Annals of Mathematics. Series B 2024 ;Volume 45.(1) p. 81-122 NTNU UiO
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3. |
Karlsen, Kenneth Aksel Hvistendahl; Kunzinger, Michael; Mitrovic, Darko. A DYNAMIC CAPILLARITY EQUATION WITH STOCHASTIC FORCING ON MANIFOLDS: A SINGULAR LIMIT PROBLEM. Transactions of the American Mathematical Society 2024 ;Volume 377.(1) p. 85-166 UiO
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4. |
Karlsen, Kenneth Aksel Hvistendahl; Rybalko, Ya.. On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system. Journal of Mathematical Analysis and Applications 2024 ;Volume 529.(1) p. - UiO
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2022
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5. |
Bendahmane, Mostafa; Karlsen, Kenneth Aksel Hvistendahl. Martingale solutions of stochastic nonlocal cross-diffusion systems. Networks and Heterogeneous Media 2022 ;Volume 17.(5) p. 719-752 UiO
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6. |
Frid, Hermano; Karlsen, Kenneth Aksel Hvistendahl; Marroquin, Daniel. Homogenization of stochastic conservation laws with multiplicative noise. Journal of Functional Analysis 2022 ;Volume 283.(9) p. 1-63 UiO
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7. |
Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung. Global well-posedness of the viscous Camassa–Holm equation with gradient noise. Discrete and Continuous Dynamical Systems. Series A 2022 ;Volume 43.(2) p. 568-618 UiO NTNU
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8. |
Holden, Helge; Karlsen, Kenneth Aksel Hvistendahl; Pang, Ho Cheung. Strong solutions of a stochastic differential equation with irregular random drift. Stochastic Processes and their Applications 2022 ;Volume 150. p. 655-677 NTNU UiO
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2021
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9. |
Galimberti, Luca; Karlsen, Kenneth H.. Renormalization of stochastic continuity equations on Riemannian manifolds. Stochastic Processes and their Applications 2021 ;Volume 142. p. 195-244 NTNU UiO
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10. |
Holden, Helge; Karlsen, Kenneth Hvistendahl; Pang, Ho Cheung. The Hunter-Saxton equation with noise. Journal of Differential Equations 2021 ;Volume 270. p. 725-786 UiO NTNU
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2020
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11. |
Hoel, Håkon; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid. Numerical methods for conservation laws with rough flux. Stochastics and Partial Differential Equations: Analysis and Computations 2020 ;Volume 8.(1) p. 186-261 UiO
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2019
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12. |
Bendahmane, M.; Karlsen, Kenneth Hvistendahl. Stochastically forced cardiac bidomain model. Stochastic Processes and their Applications 2019 ;Volume 129.(12) p. 5312-5363 UiO
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13. |
Galimberti, Luca; Karlsen, Kenneth Hvistendahl. Well-posedness theory for stochastically forced conservation laws on Riemannian manifolds. Journal of Hyperbolic Differential Equations 2019 ;Volume 16.(3) p. 519-593 UiO
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14. |
Grandelius, Erik; Karlsen, Kenneth Hvistendahl. The cardiac bidomain model and homogenization. Networks and Heterogeneous Media 2019 ;Volume 14.(1) p. 173-204 UiO
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2018
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15. |
Coclite, Giuseppe Maria; di Ruvo, Lorenzo; Karlsen, Kenneth Hvistendahl. The initial-boundary-value problem for an Ostrovsky- Hunter type equation. I: Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume. European Mathematical Society (EMS) Publishing House 2018 ISBN 978-3-03719-186-6. p. 97-109 UiO
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16. |
Coclite, Giuseppe Maria; di Ruvo, Lorenzo; Karlsen, Kenneth Hvistendahl. The initial-boundary-value problem for an Ostrovsky-Hunter type equation. I: Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume. European Mathematical Society (EMS) Publishing House 2018 ISBN 978-3-03719-186-6. p. 97-109 UiO
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17. |
Hoel, Håkon; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid. Path-dependent convex conservation laws. Journal of Differential Equations 2018 ;Volume 265.(6) p. 2708-2744 UiO
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2017
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18. |
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid. Practical Convergence Rates for Degenerate Parabolic Equations. I: Innovative Algorithms and Analysis. Springer 2017 ISBN 978-3-319-49261-2. p. 243-263 UiO
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19. |
Karlsen, Kenneth Hvistendahl; Storrøsten, Erlend Briseid. Analysis of a splitting method for stochastic balance laws. IMA Journal of Numerical Analysis 2017 ;Volume 38.(1) p. 1-56 UiO
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20. |
Karlsen, Kenneth Hvistendahl; Storrøsten, Erlend Briseid. On stochastic conservation laws and Malliavin calculus. Journal of Functional Analysis 2017 ;Volume 272.(2) p. 421-497 UiO
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21. |
Karlsen, Kenneth Hvistendahl; Towers, J. D.. Convergence of Monotone Schemes for Conservation Laws with Zero-Flux Boundary Conditions. Advances in Applied Mathematics and Mechanics 2017 ;Volume 9.(3) p. 515-542 UiO
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22. |
Karlsen, Kenneth Hvistendahl; Towers, John D.. Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition. Journal of Hyperbolic Differential Equations 2017 ;Volume 14.(4) p. 671-701 UiO
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2016
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23. |
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid. On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions. Mathematical Modelling and Numerical Analysis 2016 ;Volume 50.(2) p. 499-539 UiO
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24. |
Karlsen, Kenneth Hvistendahl; Ulusoy, Suleyman. On a hyperbolic keller-segel system with degenerate nonlinear fractional diffusion. Networks and Heterogeneous Media 2016 ;Volume 11.(1) p. 181-201 UiO
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2015
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25. |
Biswas, Imran Habib; Karlsen, Kenneth Hvistendahl; Majee, Ananta K.. Conservation laws driven by Lévy white noise. Journal of Hyperbolic Differential Equations 2015 ;Volume 12.(3) p. 581-654 UiO
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26. |
Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl. A note on the Camassa-Holm equation. Journal of Differential Equations 2015 ;Volume 259.(6) p. 2158-2166 UiO
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27. |
Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl. Periodic solutions of the Degasperis-Procesi equation: Well-posedness and asymptotics. Journal of Functional Analysis 2015 ;Volume 268.(5) p. 1053-1077 UiO
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2014
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28. |
Chen, Gui-Qiang; Holden, Helge; Karlsen, Kenneth Hvistendahl. Hyperbolic Conservation Laws and Related Analysis with Applications. Springer Science+Business Media B.V. 2014 (ISBN 978-3-642-39006-7) 384 p. Springer Proceedings in Mathematics & statistics(49) NTNU UiO
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29. |
Coclite, Giuseppe Maria; di Ruvo, L; Karlsen, Kenneth Hvistendahl. Some wellposedness results for the Ostrovsky-Hunter equation. Springer Proceedings in Mathematics & Statistics 2014 ;Volume 49. p. 143-159 UiO
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30. |
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Storrøsten, Erlend Briseid. L1 error estimates for difference approximations of degenerate convection-diffusion equations. Mathematics of Computation 2014 ;Volume 83.(290) p. 2717-2762 UiO
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31. |
Kissling, Frederike; Karlsen, Kenneth Hvistendahl. On the singular limit of a two-phase flow equation with heterogeneities and dynamic capillary pressure. Zeitschrift für angewandte Mathematik und Mechanik 2014 ;Volume 94.(7-8) p. 678-689 UiO
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2013
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32. |
Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl; Saad, Mazen. Nonlinear anisotropic elliptic and parabolic equations with variable exponents and L/1 data. Communications on Pure and Applied Analysis 2013 ;Volume 12.(3) p. 1201-1220 UiO
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33. |
Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. Operator splitting for two-dimensional incompressible fluid equations. Mathematics of Computation 2013 ;Volume 82.(282) p. 719-748 UiO NTNU
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34. |
Holden, Helge; Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. OPERATOR SPLITTING FOR WELL-POSED ACTIVE SCALAR EQUATIONS. SIAM Journal on Mathematical Analysis 2013 ;Volume 45.(1) p. 152-180 NTNU UiO
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2012
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35. |
Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl. A note on entropy solutions for degenerate parabolic equations with L^1\cap L^p data. International Journal of Dynamical Systems and Differential Equations 2012 ;Volume 4. p. 78-92 UiO
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36. |
Berre, Inga; Dahle, Helge K.; Karlsen, Kenneth Hvistendahl; Nordbotten, Jan Martin; Tai, Xue-Cheng; Winther, Ragnar. Magne Espedal Memorial Issue. International Journal of Numerical Analysis & Modeling 2012 ;Volume 9.(3) p. I-II UiB UiO
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37. |
Chen, Gui-Qiang; Ding, Qian; Karlsen, Kenneth Hvistendahl. On Nonlinear Stochastic Balance Laws. Archive for Rational Mechanics and Analysis 2012 ;Volume 204.(3) p. 707-743 UiO
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38. |
Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl. On an initial-boundary value problem for the hyperelastic rod wave equation. Advances in Differential Equations 2012 ;Volume 17.(1-2) p. 37-74 UiO
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39. |
Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik. A HYPERBOLIC-ELLIPTIC MODEL OF TWO-PHASE FLOW IN POROUS MEDIA EXISTENCE OF ENTROPY SOLUTIONS. International Journal of Numerical Analysis & Modeling 2012 ;Volume 9.(3) p. 562-583 UiO
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40. |
Evje, Steinar; Karlsen, Kenneth Hvistendahl. ANALYSIS OF A COMPRESSIBLE GAS-LIQUID MODEL MOTIVATED BY OIL WELL CONTROL OPERATIONS. Acta Mathematica Scientia 2012 ;Volume 32.(1) p. 295-314 UIS UiO
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41. |
Holden, Helge; Karlsen, Kenneth Hvistendahl. Nonlinear Partial Differential Equations. The Abel Symposium 2010. Springer Science+Business Media B.V. 2012 (ISBN 978-3-642-25360-7) 360 p. Abel Symposia(7) NTNU UiO
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42. |
Karlsen, Kenneth Hvistendahl; Karper, Trygve Klovning. A convergent mixed method for the Stokes approximation of viscous compressible flow. IMA Journal of Numerical Analysis 2012 ;Volume 32.(3) p. 725-764 NTNU UiO
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43. |
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik; Koley, Ujjwal. An error estimate for the finite difference approximation to degenerate convection-diffusion equations. Numerische Mathematik 2012 ;Volume 121.(2) p. 367-395 UiO
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2011
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44. |
Andreianov, Boris; Bendahmane, Mostafa; Karlsen, Kenneth Hvistendahl; Pierre, Charles. CONVERGENCE OF DISCRETE DUALITY FINITE VOLUME SCHEMES FOR THE CARDIAC BIDOMAIN MODEL. Networks and Heterogeneous Media 2011 ;Volume 6.(2) p. 195-240 UiO
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45. |
Andreianov, Boris; Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik. A Theory of L (1)-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux. Archive for Rational Mechanics and Analysis 2011 ;Volume 201.(1) p. 27-86 UiO
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46. |
Betancourt, F.; Bürger, R.; Karlsen, Kenneth Hvistendahl. A STRONGLY DEGENERATE PARABOLIC AGGREGATION EQUATION. Communications in Mathematical Sciences 2011 ;Volume 9.(3) p. 711-742 UiO
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47. |
Betancourt, F.; Bürger, R.; Karlsen, Kenneth Hvistendahl; Tory, E.M.. On nonlocal conservation laws modelling sedimentation. Nonlinearity 2011 ;Volume 24.(3) p. 855-885 UiO
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48. |
Cifani, Simone; Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl. The discontinuous Galerkin method for fractal conservation laws. IMA Journal of Numerical Analysis 2011 ;Volume 31.(3) p. 1090-1122 NTNU UiO
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49. |
Cifani, Simone; Jakobsen, Espen Robstad; Karlsen, Kenneth Hvistendahl. The discontinuous Galerkin method for fractional degenerate convection-diffusion equations. BIT Numerical Mathematics 2011 ;Volume 51.(4) p. 809-844 UiO NTNU
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50. |
Frid, Hermano; Holden, Helge; Karlsen, Kenneth Hvistendahl. L-infinity SOLUTIONS FOR A MODEL OF NONISOTHERMAL POLYTROPIC GAS FLOW. SIAM Journal on Mathematical Analysis 2011 ;Volume 43.(5) p. 2253-2274 NTNU UiO
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