Preprint 2009-007
Stability of entropy solutions for Lévy mixed hyperbolic-parabolic equations
Kenneth H. Karlsen and Suleyman Ulusoy
Abstract: We analyze entropy solutions for a class of Lévy mixed hyperbolic-parabolic equations containing a non-local (or fractional) diffusion operator originating from a pure jump Lévy process. For these solutions we establish uniqueness (L1 contraction property) and continuous dependence results.