University of Heidelberg, Applied Analysis Seminar
Thu 02.05.2019
14:15, posted in Applied Analysis
Prof. Dr. Benjamin Gess (MPI Leipzig)
Optimal regularity for the porous medium equation
INF 205, SR1
We prove optimal regularity for solutions to porous media equations in Sobolev spaces, based on velocity averaging techniques. In particular, the obtained regularity is consistent with the optimal regularity in the linear limit. This improves previous results by Tadmor and Tao [Tadmor, Tao; CPAM, 2007].

<< Back