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arXiv · 1708.04408

Optimal regularity for the porous medium equation

Benjamin Gess
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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.

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Benjamin Gess. 2017-08-15. Optimal regularity for the porous medium equation. https://arxiv.org/abs/1708.04408

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