中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 系统科学研究所
Boundary controllability for the semilinear Schrodinger equations on Riemannian manifolds

文献类型：期刊论文

作者Deng, Li1,2; Yao, Peng-Fei2
刊名JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
出版日期2010-12-01
卷号372期号:1页码:19-44
关键词Semilinear Schrodinger equation Exact controllability Riemannian metric
ISSN号0022-247X
DOI10.1016/j.jmaa.2010.06.043
英文摘要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.
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
语种英语
WOS记录号WOS:000280869100003
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11094]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。