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

doi:10.1007/s11424-009-9199-x

CSpace > 系统科学研究所

	Global smooth solutions for semilinear Schrodinger equations with boundary feedback on 2-dimensional Riemannian manifolds
	Deng, Li 1,2; Yao, Pengfei
	2009-12-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	22 期号:4 页码:749-776
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.
关键词	Boundary feedback energy decay Riemannian metric semilinear schrodinger equation
DOI	10.1007/s11424-009-9199-x
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] ; Chinese Academy of Sciences[KJCX3-SYW-S01]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000272037900015
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8911
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.