Local Well-posedness of the Derivative Schrodinger Equation in Higher Dimension for Any Large Data

doi:10.1007/s11401-022-0373-y

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	Local Well-posedness of the Derivative Schrodinger Equation in Higher Dimension for Any Large Data
	Guo, Boling 1; Huo, Zhaohui 2,3
	2022-11-01
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	43 期号:6 页码:977-998
摘要	In this paper, the authors consider the local well-posedness for the derivative Schrodinger equation in higher dimension u(t) - i Delta u + vertical bar u vertical bar(2)((gamma)over-right-arrow .del u) +u(2)((lambda)over-right-arrow . del(u) over bar) = 0, (x,t) is an element of R-n x R, (gamma)over-right-arrow, (lambda)over-right-arrow is an element of (n)(R); n >= 2. It is shown that the Cauchy problem of the derivative Schrodinger equation in higher dimension is locally well-posed in H-s (R-n) (s > n/2) for any large initial data. Thus this result can compare with that in one dimension except for the endpoint space H-n/2.
关键词	Well-posedness Derivative Schrodinger equation in higher dimension Short-time X-s,X-b Large initial data
DOI	10.1007/s11401-022-0373-y
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000895451200003
出版者	SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60450
专题	中国科学院数学与系统科学研究院
通讯作者	Guo, Boling
作者单位	1.Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Guo, Boling,Huo, Zhaohui. Local Well-posedness of the Derivative Schrodinger Equation in Higher Dimension for Any Large Data[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2022,43(6):977-998.
APA	Guo, Boling,&Huo, Zhaohui.(2022).Local Well-posedness of the Derivative Schrodinger Equation in Higher Dimension for Any Large Data.CHINESE ANNALS OF MATHEMATICS SERIES B,43(6),977-998.
MLA	Guo, Boling,et al."Local Well-posedness of the Derivative Schrodinger Equation in Higher Dimension for Any Large Data".CHINESE ANNALS OF MATHEMATICS SERIES B 43.6(2022):977-998.