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GLOBAL WELL-POSEDNESS AND EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE KADOMTSEV-PETVIASHVILI II EQUATION IN THE ANISOTROPIC SOBOLEV SPACE

文献类型：期刊论文

作者Kishimoto, Nobu1; Shan, Minjie3; Tsutsumi, Yoshio2
刊名DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
出版日期2020-03-01
卷号40期号:3页码:1283-1307
关键词Kadomtsev-Petviashvili II equation global well-posedness global attractor I-method A-priori estimate
ISSN号1078-0947
DOI10.3934/dcds.2020078
英文摘要The global well-posedness for the KP-II equation is established in the anisotropic Sobolev space H-s,H-0 for s > - 3/8 Even though conservation laws are invalid in the Sobolev space with negative index, we explore the asymptotic behavior of the solution by the aid of the I-method in which Colliander, Keel, Staffilani, Takaoka, and Tao introduced a series of modified energy terms. Moreover, a-priori estimate of the solution leads to the existence of global attractor for the weakly damped, forced KP-II equation in the weak topology of the Sobolev space when s > -1/8.
资助项目JSPS KAKENHI[17H02853] ; JSPS KAKENHI[16K13770] ; China Postdoctoral Science Foundation[2019M650872]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000502707900002
出版者AMER INST MATHEMATICAL SCIENCES-AIMS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50513]  
专题中国科学院数学与系统科学研究院
通讯作者Kishimoto, Nobu
作者单位1.Kyoto Univ, Res Inst Math Sci, Kyoto 6068502, Japan
2.Kyoto Univ, Dept Math, Kyoto 6068502, Japan
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Kishimoto, Nobu,Shan, Minjie,Tsutsumi, Yoshio. GLOBAL WELL-POSEDNESS AND EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE KADOMTSEV-PETVIASHVILI II EQUATION IN THE ANISOTROPIC SOBOLEV SPACE[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2020,40(3):1283-1307.
APA Kishimoto, Nobu,Shan, Minjie,&Tsutsumi, Yoshio.(2020).GLOBAL WELL-POSEDNESS AND EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE KADOMTSEV-PETVIASHVILI II EQUATION IN THE ANISOTROPIC SOBOLEV SPACE.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,40(3),1283-1307.
MLA Kishimoto, Nobu,et al."GLOBAL WELL-POSEDNESS AND EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE KADOMTSEV-PETVIASHVILI II EQUATION IN THE ANISOTROPIC SOBOLEV SPACE".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 40.3(2020):1283-1307.

入库方式： OAI收割

来源：数学与系统科学研究院

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