An inverse problem for the transmission wave equation with Kelvin-Voigt damping

doi:10.1080/00036811.2022.2091550

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	An inverse problem for the transmission wave equation with Kelvin-Voigt damping
	Zhao, Zhongliu 1; Zhang, Wensheng 2,3
	2022-06-28
发表期刊	APPLICABLE ANALYSIS
ISSN	0003-6811
页码	23
摘要	In this paper, we consider a transmission wave problem with Kelvin-Voigt damping in two embedded domains in R-n. We construct a global Carleman estimate for the transmission strongly damped wave equation with discontinuous coefficients. With the new Carleman estimate, we prove the Lipschitz stability and uniqueness of the inverse problem of determining the coefficient of the zeroth-order term in the equation with a single measurement observed in any small domain located in the outer domain.
关键词	Wave equation with Kelvin-Voigt damping discontinuous coefficients global Carleman estimate inverse problem single measurement
DOI	10.1080/00036811.2022.2091550
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[51739007] ; National Natural Science Foundation of China[11471328] ; Scientific Research of China Hunan Provincial Department of Education[20C0905]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000817244900001
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61215
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Wensheng
作者单位	1.Hunan Inst Sci & Technol, Dept Math, Yueyang, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Zhongliu,Zhang, Wensheng. An inverse problem for the transmission wave equation with Kelvin-Voigt damping[J]. APPLICABLE ANALYSIS,2022:23.
APA	Zhao, Zhongliu,&Zhang, Wensheng.(2022).An inverse problem for the transmission wave equation with Kelvin-Voigt damping.APPLICABLE ANALYSIS,23.
MLA	Zhao, Zhongliu,et al."An inverse problem for the transmission wave equation with Kelvin-Voigt damping".APPLICABLE ANALYSIS (2022):23.