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On the Cauchy Problem for the Muskat Equation. II: Critical Initial Data

Alazard, T; Nguyen, QH

Nguyen, QH (corresponding author), ShanghaiTech Univ, 393 Middle Huaxia Rd, Shanghai 201210, Peoples R China.

ANNALS OF PDE, 2021; 7 (1):

Abstract

We prove that the Cauchy problem for the Muskat equation is well-posed locally in time for any initial data in the critical space of Lipschitz functio......

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