Boundary controllability for the semilinear Schrodinger equations on Riemannian manifolds

doi:10.1016/j.jmaa.2010.06.043

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	Boundary controllability for the semilinear Schrodinger equations on Riemannian manifolds
	Deng, Li 1,2; Yao, Peng-Fei2
	2010-12-01
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	372 期号:1 页码:19-44
摘要	We study the boundary exact controllability for the semilinear Schrodinger equation defined on an open, bounded, connected set Omega of a complete, n-dimensional, Riemannian manifold M with metric g. We prove the locally exact controllability around the equilibria under some checkable geometrical conditions. Our results show that exact controllability is geometrical characters of a Riemannian metric, given by the coefficients and equilibria of the semilinear Schrodinger equation. We then establish the globally exact controllability in such a way that the state of the semilinear Schrodinger equation moves from an equilibrium in one location to an equilibrium in another location. (C) 2010 Elsevier Inc. All rights reserved.
关键词	Semilinear Schrodinger equation Exact controllability Riemannian metric
DOI	10.1016/j.jmaa.2010.06.043
语种	英语
资助项目	National Science Foundation of China[60225003] ; National Science Foundation of China[60334040] ; National Science Foundation of China[60221301] ; National Science Foundation of China[60774025] ; National Science Foundation of China[10831007]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000280869100003
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/11095
专题	系统科学研究所
通讯作者	Deng, Li
作者单位	1.SW Jiaotong Univ, Dept Math, Inst Appl Math, Chengdu 610031, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Control & Syst, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Deng, Li,Yao, Peng-Fei. Boundary controllability for the semilinear Schrodinger equations on Riemannian manifolds[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2010,372(1):19-44.
APA	Deng, Li,&Yao, Peng-Fei.(2010).Boundary controllability for the semilinear Schrodinger equations on Riemannian manifolds.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,372(1),19-44.
MLA	Deng, Li,et al."Boundary controllability for the semilinear Schrodinger equations on Riemannian manifolds".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 372.1(2010):19-44.