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

文献类型：期刊论文

作者Zhao, Zhongliu1; Zhang, Wensheng2,3
刊名APPLICABLE ANALYSIS
出版日期2022-06-28
页码23
关键词Wave equation with Kelvin-Voigt damping discontinuous coefficients global Carleman estimate inverse problem single measurement
ISSN号0003-6811
DOI10.1080/00036811.2022.2091550
英文摘要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.
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
语种英语
WOS记录号WOS:000817244900001
出版者TAYLOR & FRANCIS LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/61214]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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