Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrodinger equation for radial data in high dimensions

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	Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrodinger equation for radial data in high dimensions
	Tao, Terence ; Visan, Monica ; Zhang, Xiaoyi
	2007-10-01
发表期刊	DUKE MATHEMATICAL JOURNAL
ISSN	0012-7094
卷号	140 期号:1 页码:165-202
摘要	We establish global well-posedness and scattering for solutions to the defocusing mass-critical (pseudoconformal) nonlinear Schrodinger equation iu(t) + Delta u = vertical bar u vertical bar(4/n) u for large, spherically symmetric, L-x(2) (R-n) initial data in dimensions n >= 3. After using the concentration-compactness reductions in [32] to reduce to eliminating blow-up solutions that are almost periodic modulo scaling, we obtain a fiequency-localized Morawetz estimate and exclude a mass evacuation scenario (somewhat analogously to [10], [23], [36]) in order to conclude the argument.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000250079200005
出版者	DUKE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5279
专题	中国科学院数学与系统科学研究院
通讯作者	Tao, Terence
作者单位	1.Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA 2.Inst Adv Study, Sch Math, Princeton, NJ 08540 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Tao, Terence,Visan, Monica,Zhang, Xiaoyi. Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrodinger equation for radial data in high dimensions[J]. DUKE MATHEMATICAL JOURNAL,2007,140(1):165-202.
APA	Tao, Terence,Visan, Monica,&Zhang, Xiaoyi.(2007).Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrodinger equation for radial data in high dimensions.DUKE MATHEMATICAL JOURNAL,140(1),165-202.
MLA	Tao, Terence,et al."Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrodinger equation for radial data in high dimensions".DUKE MATHEMATICAL JOURNAL 140.1(2007):165-202.