Lipschitz stability for an inverse source scattering problem at a fixed frequency*

被引：3
|
作者：
Li, Peijun [1 ]
Zhai, Jian [2 ]
Zhao, Yue [3 ]
机构：
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
[2] Hong Kong Univ Sci & Technol, Inst Adv Study, Kowloon, Hong Kong, Peoples R China
[3] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
来源：
INVERSE PROBLEMS | 2021年 / 37卷 / 02期
关键词：
inverse source problem; the Helmholtz equation; stability; BOUNDARY-VALUE PROBLEM; UNIQUENESS; CORNERS;
D O I：
10.1088/1361-6420/abd3b4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with an inverse source problem for the three-dimensional Helmholtz equation by a single boundary measurement at a fixed frequency. We show the uniqueness and a Lipschitz-type stability estimate under the assumption that the source function is piecewise constant on a domain which is made of a union of disjoint convex polyhedral subdomains.
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页数：17
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