Kenneth H. Karlsen

collaborators

3 papers

math.AP2009

Operator splitting for the KdV equation

Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro +1

We provide a new analytical approach to operator splitting for equations of the type $u_{t} = A u + B (u)$ where $A$ is a linear operator and $B$ is quadratic. A particular example is the…

math.AP2009★ 19 cited

Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations

Kenneth H. Karlsen, Suleyman Ulusoy

We analyze entropy solutions for a class of Levy mixed hyperbolicparabolic equations containing a non-local (or fractional) diffusion operator originating from a pure jump Levy pro…

math.AP2006

On the existence and compactness of a two-dimensional resonant system of conservation laws

Kenneth H. Karlsen, Michel Rascle, Eitan Tadmor

We prove the existence of a weak solution to a two-dimensional resonant 3x3 system of conservation laws with BV initial data. Due to possible resonance (coinciding eigenvalues), sp…