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Preprint 2009-007

Stability of entropy solutions for LÚvy mixed hyperbolic-parabolic equations

Kenneth H. Karlsen and Suleyman Ulusoy

Abstract: We analyze entropy solutions for a class of LÚvy mixed hyperbolic-parabolic equations containing a non-local (or fractional) diffusion operator originating from a pure jump LÚvy process. For these solutions we establish uniqueness (L1 contraction property) and continuous dependence results.

Paper:
Available as PDF (302 Kbytes).
Author(s):
Kenneth H. Karlsen,
Suleyman Ulusoy
Publishing information:
Comments:
Submitted by:
; 2009-02-06.