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Global smooth solutions for semilinear Schrodinger equations with boundary feedback on 2-dimensional Riemannian manifolds

文献类型：期刊论文

作者Deng, Li1,2; Yao, Pengfei
刊名JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
出版日期2009-12-01
卷号22期号:4页码:749-776
关键词Boundary feedback energy decay Riemannian metric semilinear schrodinger equation
ISSN号1009-6124
DOI10.1007/s11424-009-9199-x
英文摘要This paper considers the existence of global smooth solutions of semilinear schrodinger equation with a boundary feedback on 2-dimensional Riemannian manifolds when initial data are small. The authors show that the existence of global solutions depends not only on the boundary feedback, but also on a Riemannian metric, given by the coefficient of the principle part and the original metric of the manifold. In particular, the authers prove that the energy of the system decays exponentially.
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] ; Chinese Academy of Sciences[KJCX3-SYW-S01]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000272037900015
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8910]  
专题系统科学研究所
通讯作者Deng, Li
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Control & Syst, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Deng, Li,Yao, Pengfei. Global smooth solutions for semilinear Schrodinger equations with boundary feedback on 2-dimensional Riemannian manifolds[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2009,22(4):749-776.
APA Deng, Li,&Yao, Pengfei.(2009).Global smooth solutions for semilinear Schrodinger equations with boundary feedback on 2-dimensional Riemannian manifolds.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,22(4),749-776.
MLA Deng, Li,et al."Global smooth solutions for semilinear Schrodinger equations with boundary feedback on 2-dimensional Riemannian manifolds".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 22.4(2009):749-776.

入库方式： OAI收割

来源：数学与系统科学研究院

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