Optimal regularity for the porous medium equation
Analysis of PDEs
2019-06-18 v2 Probability
Abstract
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.
Cite
@article{arxiv.1708.04408,
title = {Optimal regularity for the porous medium equation},
author = {Benjamin Gess},
journal= {arXiv preprint arXiv:1708.04408},
year = {2019}
}
Comments
39 pages