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

被引：2
作者：
Zhao, Zhongliu [1 ]
Zhang, Wensheng [2 ,3 ]
机构：
[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
来源：
APPLICABLE ANALYSIS | 2023年 / 102卷 / 13期
基金：
中国国家自然科学基金;
关键词：
Wave equation with Kelvin-Voigt damping; discontinuous coefficients; global Carleman estimate; inverse problem; single measurement; GLOBAL UNIQUENESS; CARLEMAN ESTIMATE; STABILITY; COEFFICIENT; OBSERVABILITY; BEHAVIOR;
D O I：
10.1080/00036811.2022.2091550
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：3710 / 3732
页数：23
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