energydecayforthecauchyproblemofthelinearwaveequationofvariablecoefficientswithdissipation

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	energydecayforthecauchyproblemofthelinearwaveequationofvariablecoefficientswithdissipation
	Yao Pengfei
	2010
发表期刊	chineseannalsofmathematicsseriesb
ISSN	0252-9599
卷号	31 期号:1 页码:59
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.
语种	英语
资助项目	[National Natural Science Foundation of China]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/48030
专题	系统科学研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Yao Pengfei. energydecayforthecauchyproblemofthelinearwaveequationofvariablecoefficientswithdissipation[J]. chineseannalsofmathematicsseriesb,2010,31(1):59.
APA	Yao Pengfei.(2010).energydecayforthecauchyproblemofthelinearwaveequationofvariablecoefficientswithdissipation.chineseannalsofmathematicsseriesb,31(1),59.
MLA	Yao Pengfei."energydecayforthecauchyproblemofthelinearwaveequationofvariablecoefficientswithdissipation".chineseannalsofmathematicsseriesb 31.1(2010):59.