Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations

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.

20 pages, no figures. Manuscript submitted to Elseiver

References in corpus (2)

• Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited
• Blow up and regularity for fractal Burgers equation