Nonlinear boundary stabilization of wave equations with variable coefficients

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	Nonlinear boundary stabilization of wave equations with variable coefficients
	Feng, SJ; Feng, DX
	2003-04-01
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	24 期号:2 页码:239-248
摘要	The wave equation with variable coefficients with a nonlinear dissipative boundary feedback is studied. By the Riemannian geometry method and the multiplier technique, it is shown that the closed loop system decays exponentially or asymptotically, and hence the relation between the decay rate of the system energy and the nonlinearity behavior of the feedback function is established.
关键词	wave equations nonlinear boundary feedback exponential decay asymptotic decay Riemannian manifold
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000183647900009
出版者	SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18888
专题	系统科学研究所
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Feng, SJ,Feng, DX. Nonlinear boundary stabilization of wave equations with variable coefficients[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2003,24(2):239-248.
APA	Feng, SJ,&Feng, DX.(2003).Nonlinear boundary stabilization of wave equations with variable coefficients.CHINESE ANNALS OF MATHEMATICS SERIES B,24(2),239-248.
MLA	Feng, SJ,et al."Nonlinear boundary stabilization of wave equations with variable coefficients".CHINESE ANNALS OF MATHEMATICS SERIES B 24.2(2003):239-248.