Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations

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.

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Bibliographic Details
Main Authors Karlsen, Kenneth H, Ulusoy, Suleyman
Format Journal Article
LanguageEnglish
Published 03.02.2009
Subjects
Mathematics - Analysis of PDEs
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Summary: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.
DOI:10.48550/arxiv.0902.0538