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arxiv: 0902.0538 · v1 · submitted 2009-02-03 · 🧮 math.AP

Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations

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keywords levysolutionsentropyequationsmixedanalyzeclasscontaining
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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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