<p>Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem & nbsp;</p>

doi:10.1016/j.aim.2022.108278

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	Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem & nbsp;
	Alazard, Thomas 1,2; Quoc-Hung Nguyen 3
	2022-04-16
发表期刊	ADVANCES IN MATHEMATICS
ISSN	0001-8708
卷号	399 页码:52
摘要	We exhibit a new decomposition of the nonlinearity for the Muskat equation and use it to commute Fourier multipliers with the equation. This allows to study solutions with critical regularity. As a corollary, we obtain the first well-posedness result for arbitrary large data in the critical space H-2(R-2) & cap;& nbsp;; W-1,W-infinity(R-2). Moreover, we prove the existence of solutions for initial data which are not Lipschitz. (C) 2022 Published by Elsevier Inc.& nbsp;
关键词	Muskat equation
DOI	10.1016/j.aim.2022.108278
收录类别	SCI
语种	英语
资助项目	French National Research Agency (ANR)[ANR-18-CE40-0027] ; Academy of Mathematics and Systems Science, Chinese Academy of Sciences startup fund ; National Natural Science Foundation of China[12050410257]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000793353200009
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61376
专题	中国科学院数学与系统科学研究院
通讯作者	Quoc-Hung Nguyen
作者单位	1.Univ Paris Saclay, ENS Paris Saclay, CNRS, Ctr Borelli UMR9010, Ave Sci, F-91190 Gif Sur Yvette, France 2.Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Alazard, Thomas,Quoc-Hung Nguyen. Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem & nbsp; [J]. ADVANCES IN MATHEMATICS,2022,399:52.
APA	Alazard, Thomas,&Quoc-Hung Nguyen.(2022). Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem & nbsp; .ADVANCES IN MATHEMATICS,399,52.
MLA	Alazard, Thomas,et al." Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem & nbsp; ".ADVANCES IN MATHEMATICS 399(2022):52.