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

doi:10.3934/dcds.2020078

CSpace

	GLOBAL WELL-POSEDNESS AND EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE KADOMTSEV-PETVIASHVILI II EQUATION IN THE ANISOTROPIC SOBOLEV SPACE
	Kishimoto, Nobu 1; Shan, Minjie 2; Tsutsumi, Yoshio 3
	2020-03-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	40 期号:3 页码:1283-1307
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.
关键词	Kadomtsev-Petviashvili II equation global well-posedness global attractor I-method A-priori estimate
DOI	10.3934/dcds.2020078
收录类别	SCI
语种	英语
资助项目	JSPS KAKENHI[17H02853] ; JSPS KAKENHI[16K13770] ; China Postdoctoral Science Foundation[2019M650872]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000502707900002
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50514
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.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Kyoto Univ, Dept Math, Kyoto 6068502, Japan
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.