Higher integrability in the obstacle problem for the fast diffusion equation

[摘要] We prove local higher integrability of the spatial gradient for solutions to obstacle problems of porous medium type in the fast diffusion case m < 1. 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. (C) 2020 Elsevier Inc. All rights reserved.

[发布日期] 2020-11-15

[关键词] Porous medium equation;Obstacle problem;Higher integrability