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On the Cauchy problem for the Muskat equation with non-Lipschitz initial data

Alazard, T; Nguyen, QH

Alazard, T (corresponding author), Univ Paris Saclay, ENS Paris Saclay, CNRS, Ctr Borelli,UMR9010, Ave Sci, F-91190 Paris, France.

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2021; 46 (11): 2171

Abstract

This article is devoted to the study of the Cauchy problem for the Muskat equation. We consider initial data belonging to the critical Sobolev space o......

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