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The Muskat problem with C1 data.

Authors :
Chen, Ke
Nguyen, Quoc-Hung
Xu, Yiran
Source :
Transactions of the American Mathematical Society; May2022, Vol. 375 Issue 5, p3039-3060, 22p
Publication Year :
2022

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<superscript>1</superscript>(R<superscript>d</superscript>) ∩ L<superscript>2</superscript>(R<superscript>d</superscript>). [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
EQUATIONS

Details

Language :
English
ISSN :
00029947
Volume :
375
Issue :
5
Database :
Complementary Index
Journal :
Transactions of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
156056315
Full Text :
https://doi.org/10.1090/tran/8559