K
Kenneth H. Karlsen
Researcher at University of Oslo
Publications - 254
Citations - 8093
Kenneth H. Karlsen is an academic researcher from University of Oslo. The author has contributed to research in topics: Conservation law & Nonlinear system. The author has an hindex of 48, co-authored 245 publications receiving 7418 citations. Previous affiliations of Kenneth H. Karlsen include University of Bergen & Nielsen Holdings N.V..
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On the well-posedness of the Degasperis-Procesi equation
TL;DR: In this article, the authors investigated well-posedness in classes of discontinuous functions for the nonlinear and third order dispersive Degasperis-procesi equation and proved existence and L1 stability (uniqueness) results for entropy weak solutions belonging to the class L1∩BV.
MonographDOI
Splitting methods for partial differential equations with rough solutions : analysis and MATLAB programs
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On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
TL;DR: In this article, the authors study nonlinear degenerate parabolic equations where the flux function $f(x,t,u) does not depend Lipschitz continuously on the spatial location of the initial value.
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A Theory of L 1 -Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux
TL;DR: In this paper, a general framework for the study of L1 contractive semigroups of solutions to conservation laws with discontinuous flux is proposed, where the fluxes fl, fr are mainly assumed to be continuous.
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Global weak solutions to a generalized hyperelastic-rod wave equation
TL;DR: The existence of a strongly continuous semigroup of global weak solutions for any initial data from $H^1(\R)$, and a "weak equals strong" uniqueness result are established.