On the blowup for the L-2-critical focusing nonlinear schrodinger equation in higher dimensions below the energy class

doi:10.1137/060663969

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	On the blowup for the L-2-critical focusing nonlinear schrodinger equation in higher dimensions below the energy class
	Visan, Monica ; Zhang, Xiaoyi
	2007
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	39 期号:1 页码:34-56
摘要	We consider the focusing mass-critical nonlinear Schrodinger equation and prove that blowup solutions to this equation with initial data in H-s(R-d), s > s(0)(d) and d >= 3, concentrate at least the mass of the ground state at the blowup time. This extends recent work by Colliander et al. [Math. Res. Lett., 12 ( 2005), pp. 357-375], Hmidi and Keraani [Remarks on the Blowup for the L-2-Critical Nonlinear Schrodinger Equations, preprint], and Tzirakis [SIAM J. Math. Anal., 37 (2006), pp. 1923-1946] on the blowup of the two-dimensional and one-dimensional mass-critical focusing nonlinear Schrodinger equation below the energy space to all dimensions d >= 3.
关键词	nonlinear Schrodinger equation blowup I-method
DOI	10.1137/060663969
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000247647500002
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5016
专题	中国科学院数学与系统科学研究院
通讯作者	Visan, Monica
作者单位	1.Inst Adv Study, Sch Math, Princeton, NJ 08540 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Visan, Monica,Zhang, Xiaoyi. On the blowup for the L-2-critical focusing nonlinear schrodinger equation in higher dimensions below the energy class[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2007,39(1):34-56.
APA	Visan, Monica,&Zhang, Xiaoyi.(2007).On the blowup for the L-2-critical focusing nonlinear schrodinger equation in higher dimensions below the energy class.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,39(1),34-56.
MLA	Visan, Monica,et al."On the blowup for the L-2-critical focusing nonlinear schrodinger equation in higher dimensions below the energy class".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 39.1(2007):34-56.