Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation

doi:10.1007/s11401-008-0421-2

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	Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation
	Yao, Pengfei
	2010
发表期刊	CHINESE ANNALS OF MATHEMATICS SERIES B
ISSN	0252-9599
卷号	31 期号:1 页码:59-70
摘要	Decay of the energy for the Cauchy problem of the wave equation of variable coefficients with a dissipation is considered. It is shown that whether a dissipation can be localized near infinity depends on the curvature properties of a Riemannian metric given by the variable coefficients. In particular, some criteria on curvature of the Riemannian manifold for a dissipation to be localized are given.
关键词	Wave equation Riemannian metric Localized dissipation near infinity
DOI	10.1007/s11401-008-0421-2
语种	英语
资助项目	National Natural Science Foundation of China[60225003] ; National Natural Science Foundation of China[60821091] ; National Natural Science Foundation of China[10831007] ; National Natural Science Foundation of China[60774025] ; [KJCX3-SYW-S01]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000272914900004
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/10943
专题	系统科学研究所
通讯作者	Yao, Pengfei
作者单位	Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Key Lab Control & Syst, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yao, Pengfei. Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2010,31(1):59-70.
APA	Yao, Pengfei.(2010).Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation.CHINESE ANNALS OF MATHEMATICS SERIES B,31(1),59-70.
MLA	Yao, Pengfei."Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation".CHINESE ANNALS OF MATHEMATICS SERIES B 31.1(2010):59-70.