Université Paris-Est Université Paris-Est - Marne-la-Vallée Université Paris-Est - Créteil Val-de-Marne Centre National de la Recherche Scientifique

On drift-diffusion equations with fractional diffusion.

Site: 
Date: 
10/11/2011 - 13:30 - 14:30
Salle: 
P1 001
Orateur: 
SILVESTRE Luis
Localisation: 
Université de Chicago
Localisation: 
États-Unis
Résumé: 

We prove a new Holder estimate for parabolic equations with a bounded drift and fractional diffusion. There is no assumption on the divergence on the drift. This estimate allows us to study the regularity of solutions to some nonlinear problems like the Hamilton-Jacobi equation or scalar conservation laws with critical fractional diffusion.