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	Blow up of solutions to the nonlinear Schrodinger equations on manifolds
	Ma, Li ; Zhao, Lin
	2010-05-06 ; 2010-05-06
关键词	DISPERSIVE EVOLUTION-EQUATIONS CAUCHY-PROBLEM Physics, Mathematical
中文摘要	In this paper, we partially settle down the long-standing open problem of the finite time blow-up property about the nonlinear Schrodinger equations on some Riemannian manifolds such as the standard 2-sphere S-2 and the hyperbolic 2-space H-2(-1). Using the similar idea, we establish such blow-up results on higher dimensional standard sphere and hyperbolic n-space. Extensions to n-dimensional Riemannian warped product manifolds with n >= 2 are also given. (c) 2007 American Institute of Physics.
语种	英语 ; 英语
出版者	AMER INST PHYSICS ; MELVILLE ; CIRCULATION & FULFILLMENT DIV, 2 HUNTINGTON QUADRANGLE, STE 1 N O 1, MELVILLE, NY 11747-4501 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14033]
专题	清华大学
推荐引用方式 GB/T 7714	Ma, Li,Zhao, Lin. Blow up of solutions to the nonlinear Schrodinger equations on manifolds[J],2010, 2010.
APA	Ma, Li,&Zhao, Lin.(2010).Blow up of solutions to the nonlinear Schrodinger equations on manifolds..
MLA	Ma, Li,et al."Blow up of solutions to the nonlinear Schrodinger equations on manifolds".(2010).

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