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arXiv · 2004.07096

Higher integrability in the obstacle problem for the fast diffusion equation

Yumi Cho·Christoph Scheven
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Abstract

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.

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Yumi Cho, Christoph Scheven. 2020-04-15. Higher integrability in the obstacle problem for the fast diffusion equation. https://arxiv.org/abs/2004.07096

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