On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation

doi:10.1016/j.aim.2008.10.013

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	On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation
	Li, Dong 1; Zhang, Xiaoyi 1,2
	2009-03-01
发表期刊	ADVANCES IN MATHEMATICS
ISSN	0001-8708
卷号	220 期号:4 页码:1171-1192
摘要	Consider the focusing mass-critical nonlinear Hartree equation iu(t) + Delta u = -(vertical bar.vertical bar(-2)*vertical bar u vertical bar(2))u for spherically symmetric H(x)(1) initial data with ground state mass M(Q) in dimension d >= 5. We show that any global solution u which does not scatter must be the solitary wave e(it) Q up to phase rotation and scaling. (C) 2008 Elsevier Inc. All rights reserved.
关键词	Hartree equation Minimal mass Blowup
DOI	10.1016/j.aim.2008.10.013
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000263156900005
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/7497
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 08544 USA 2.Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Dong,Zhang, Xiaoyi. On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation[J]. ADVANCES IN MATHEMATICS,2009,220(4):1171-1192.
APA	Li, Dong,&Zhang, Xiaoyi.(2009).On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation.ADVANCES IN MATHEMATICS,220(4),1171-1192.
MLA	Li, Dong,et al."On the classification of minimal mass blowup solutions of the focusing mass-critical Hartree equation".ADVANCES IN MATHEMATICS 220.4(2009):1171-1192.