Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations

Details Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations

2009-02-03

arxiv.org/abs/0902.0538v1

Mathematics

Analysis of PDEs

20 pages, no figures. Manuscript submitted to Elseiver

Scientific paper

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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