Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem & nbsp;
文献类型：期刊论文
| 作者 | Alazard, Thomas1,2; Quoc-Hung Nguyen3 |
| 刊名 | ADVANCES IN MATHEMATICS
 |
| 出版日期 | 2022-04-16 |
| 卷号 | 399页码:52 |
| 关键词 | Muskat equation |
| ISSN号 | 0001-8708 |
| DOI | 10.1016/j.aim.2022.108278 |
| 英文摘要 | 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; |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000793353200009 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61375]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。