On drift-diffusion equations with fractional diffusion.

Orateur:
SILVESTRE Luis
Localisation: Université de Chicago, États-Unis
Type: Groupe de travail équations aux dérivées partielles
Site: UPEC
Salle:
P1 001
Date de début:
10/11/2011 - 13:30
Date de fin:
10/11/2011 - 13:30

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.