Higher integrability in the obstacle problem for the fast diffusion equation
Analysis of PDEs
2020-04-16 v1
Abstract
We prove local higher integrability of the spatial gradient for solutions to obstacle problems of porous medium type in the fast diffusion case . The result holds for the natural range of exponents that is known from other regularity results for porous medium type equations. We also cover the case of signed solutions.
Cite
@article{arxiv.2004.07096,
title = {Higher integrability in the obstacle problem for the fast diffusion equation},
author = {Yumi Cho and Christoph Scheven},
journal= {arXiv preprint arXiv:2004.07096},
year = {2020}
}