CARLEMAN AND OBSERVABILITY ESTIMATES FOR STOCHASTIC WAVE EQUATIONS

doi:10.1137/070685786

	CARLEMAN AND OBSERVABILITY ESTIMATES FOR STOCHASTIC WAVE EQUATIONS
	Zhang, Xu 1,2
刊名	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
	2008
卷号	40 期号:2 页码:851-868
关键词	Carleman estimate singular weight function observability estimate stochastic wave equation state observation problem
ISSN号	0036-1410
DOI	10.1137/070685786
英文摘要	Based on a fundamental identity for stochastic hyperbolic-like operators, we derive in this paper a global Carleman estimate (with singular weight function) for stochastic wave equations. This leads to an observability estimate for stochastic wave equations with nonsmooth lower order terms. Moreover, the observability constant is estimated by means of an explicit function of the norm of the coefficients involved in the equation. An application to the state observation problem for semilinear stochastic wave equations is also given.
语种	英语
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:000259955700018
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/6845]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Xu
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100080, Peoples R China 2.Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Xu. CARLEMAN AND OBSERVABILITY ESTIMATES FOR STOCHASTIC WAVE EQUATIONS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2008,40(2):851-868.
APA	Zhang, Xu.(2008).CARLEMAN AND OBSERVABILITY ESTIMATES FOR STOCHASTIC WAVE EQUATIONS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,40(2),851-868.
MLA	Zhang, Xu."CARLEMAN AND OBSERVABILITY ESTIMATES FOR STOCHASTIC WAVE EQUATIONS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 40.2(2008):851-868.