The Muskat problem with $C^1$ data
Analysis of PDEs
2021-12-24 v2
Abstract
In this paper we prove that the Cauchy problem of the Muskat equation is wellposed locally in time for any initial data in C˙1(Rd)∩L2(Rd).
Cite
@article{arxiv.2103.09732,
title = {The Muskat problem with $C^1$ data},
author = {Ke Chen and Quoc-Hung Nguyen and Yiran Xu},
journal= {arXiv preprint arXiv:2103.09732},
year = {2021}
}
Comments
to appear in Transactions of the AMS
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