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arXiv · 2103.09732

The Muskat problem with $C^1$ data

Ke Chen·Quoc-Hung Nguyen·Yiran Xu
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Abstract

In this paper we prove that the Cauchy problem of the Muskat equation is wellposed locally in time for any initial data in $\dot C^1(\mathbb{R}^d)\cap L^2(\mathbb{R}^d)$.

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Ke Chen, Quoc-Hung Nguyen, Yiran Xu. 2021-12-23. The Muskat problem with $C^1$ data. https://arxiv.org/abs/2103.09732

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