Geodesic
Stability of entropy solutions for Lévy mixed hyperbolic-parabolic equations
Electronic journal of differential equations, Tome 2011 (2011)
We analyze entropy solutions for a class of Levy mixed hyperbolic-parabolic equations containing a non-local (or fractional) diffusion operator originating from a pure jump Levy process. For these solutions we establish uniqueness (L^1 contraction property) and continuous dependence results.
Classification : 45K05, 35K65, 35L65, 35B65
Keywords: degenerate parabolic equation, conservation law, stability, fractional Laplacian, non-local diffusion, entropy solution, uniqueness, continuous dependence 
@article{EJDE_2011__2011__a93,
     author = {Karlsen,  Kenneth H. and Ulusoy,  Suleyman},
     title = {Stability of entropy solutions for {L\'evy} mixed hyperbolic-parabolic equations},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1270.35084},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a93/}
}
TY  - JOUR
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AU  - Ulusoy,  Suleyman
TI  - Stability of entropy solutions for Lévy mixed hyperbolic-parabolic equations
JO  - Electronic journal of differential equations
PY  - 2011
VL  - 2011
UR  - http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a93/
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%0 Journal Article
%A Karlsen,  Kenneth H.
%A Ulusoy,  Suleyman
%T Stability of entropy solutions for Lévy mixed hyperbolic-parabolic equations
%J Electronic journal of differential equations
%D 2011
%V 2011
%U http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a93/
%G en
%F EJDE_2011__2011__a93
Karlsen,  Kenneth H.; Ulusoy,  Suleyman. Stability of entropy solutions for Lévy mixed hyperbolic-parabolic equations. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a93/