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arXiv · 2102.01816

Classical solutions for fractional porous medium flow

Young-Pil Choi·In-Jee Jeong
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Abstract

We consider the fractional porous medium flow introduced by Caffarelli-Vazquez and obtain local in time existence, uniqueness, and blow-up criterion for smooth solutions. The proof is based on establishing a commutator estimate involving fractional Laplacian operators.

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Young-Pil Choi, In-Jee Jeong. 2021-02-03. Classical solutions for fractional porous medium flow. https://arxiv.org/abs/2102.01816

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