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	Stability for the time-dependent Hartree equation with positive energy
	Ma, Li ; Zhao, Lin
	2010-10-12 ; 2010-10-12
关键词	Time-dependent Hartree equation Stability FERMI TYPE THEORIES CONCENTRATION-COMPACTNESS PRINCIPLE NEUTRAL SUBSYSTEMS MOLECULES ATOMS BINDING CALCULUS SYSTEMS Mathematics, Applied Mathematics
中文摘要	In this paper, we show that the H-1 solutions to the time-dependent Hartree equation i partial derivative u/partial derivative t = 1/2 Delta u + 2/|x|u - (|u|(2) * 1/|x|)u on R-3 are stable under the perturbation of parameters. We show that any sequence of H-1 solutions to the Hartree equations with perturbed parameters admits a weakly convergent subsequence, the weak limit of which is also an H-1 solution to the Hartree equation. To prove our stability result, we need to deal with the terms involving the potential 1/|x| and new estimates will be employed. (C) 2009 Elsevier Inc. All rights reserved.
语种	英语 ; 英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81301]
专题	清华大学
推荐引用方式 GB/T 7714	Ma, Li,Zhao, Lin. Stability for the time-dependent Hartree equation with positive energy[J],2010, 2010.
APA	Ma, Li,&Zhao, Lin.(2010).Stability for the time-dependent Hartree equation with positive energy..
MLA	Ma, Li,et al."Stability for the time-dependent Hartree equation with positive energy".(2010).

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