Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations
Analysis of PDEs
2009-02-04 v1
Abstract
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 process. For these solutions we establish uniqueness (L1 contraction property) and continuous dependence results.
Keywords
Cite
@article{arxiv.0902.0538,
title = {Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations},
author = {Kenneth H. Karlsen and Suleyman Ulusoy},
journal= {arXiv preprint arXiv:0902.0538},
year = {2009}
}
Comments
20 pages, no figures. Manuscript submitted to Elseiver