Optimal regularity in time and space for the porous medium equation
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Publication:2657033
DOI10.2140/APDE.2020.13.2441zbMATH Open1459.35254arXiv1902.08632OpenAlexW2915499413MaRDI QIDQ2657033
Author name not available (Why is that?)
Publication date: 17 March 2021
Published in: (Search for Journal in Brave)
Abstract: Regularity estimates in time and space for solutions to the porous medium equation are shown in the scale of Sobolev spaces. In addition, higher spatial regularity for powers of the solutions is obtained. Scaling arguments indicate that these estimates are optimal. In the linear limit, the proven regularity estimates are consistent with the optimal regularity of the linear case.
Full work available at URL: https://arxiv.org/abs/1902.08632
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