Stability of inverse source problem for a transmission wave equation with multiple interfaces of discontinuity*

被引：2
作者：
Jiang, Zifan [1 ,2 ]
Zhang, Wensheng [1 ,2 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2023年 / 29卷
关键词：
Carleman estimate; inverse source problem; transmission wave equation; discontinuous coefficient; multiple interfaces; ACOUSTIC EQUATION; COEFFICIENT; UNIQUENESS;
D O I：
10.1051/cocv/2023031
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we consider a transmission wave equation in N embedded domains with multiple interfaces of discontinuous coefficients in Double-struck capital R-2. We study the global stability in determining the source term from a one-measurement data of wavefield velocity in a subboundary over a time interval. We prove the stability estimate for this inverse source problem by a combination of the local hyperbolic/elliptic Carleman estimates and the Fourier-Bros-Iagolniter transformation. Our method could be generalized to general dimensions since the weight functions and Carleman estimates are independent of the dimensions.
引用
收藏
页码：885 / 891
页数：31
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