Geodesic
Stability of entropy solutions for Lévy mixed hyperbolic-parabolic equations
Electronic Journal of Differential Equations, Tome 2011 (2011).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a93/}
}
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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/