- Series
- PDE Seminar
- Time
- Tuesday, November 9, 2010 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Prof. Luis Silvestre – University of Chicago – luis@math.uchicago.edu
- Organizer
- Ronghua Pan
We prove a new Holder estimate for
drift-(fractional)diffusion equations similar to the one recently
obtained by Caffarelli and Vasseur, but for bounded drifts that are
not necessarily divergence free. We use this estimate to study the
regularity of solutions to either the Hamilton-Jacobi equation or
conservation laws with critical fractional diffusion.