Dynamics for the energy critical nonlinear Schrodinger equation in high dimensions

doi:10.1016/j.jfa.2008.12.007

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	Dynamics for the energy critical nonlinear Schrodinger equation in high dimensions
	Li, Dong 1; Zhang, Xiaoyi 1,2
	2009-03-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	256 期号:6 页码:1928-1961
摘要	In [T Duyckaerts, F Merle, Dynamic of threshold solutions for energy-critical NLS, preprint, arXiv:0710.5915 [math.AP]], T. Duyckaerts and F. Merle studied the variational structure near the ground state solution W of the energy critical NLS and classified the solutions with the threshold energy E(W) in dimensions d = 3, 4, 5 under the radial assumption. In this paper, we extend the results to all dimensions d >= 6. The main issue in high dimensions is the non-Lipschitz continuity of the nonlinearity which we get around by making full use of the decay property of W. (C) 2008 Elsevier Inc. All rights reserved.
关键词	Energy critical Schrodinger equation Variational structure Ground state
DOI	10.1016/j.jfa.2008.12.007
语种	英语
资助项目	National Science Foundation[DMS-0635607] ; National Science Foundation[10601060] ; Mathematics Department of University of Iowa
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000263759200011
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/8631
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Xiaoyi
作者单位	1.Inst Adv Study, Princeton, NJ 08540 USA 2.Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Dong,Zhang, Xiaoyi. Dynamics for the energy critical nonlinear Schrodinger equation in high dimensions[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2009,256(6):1928-1961.
APA	Li, Dong,&Zhang, Xiaoyi.(2009).Dynamics for the energy critical nonlinear Schrodinger equation in high dimensions.JOURNAL OF FUNCTIONAL ANALYSIS,256(6),1928-1961.
MLA	Li, Dong,et al."Dynamics for the energy critical nonlinear Schrodinger equation in high dimensions".JOURNAL OF FUNCTIONAL ANALYSIS 256.6(2009):1928-1961.