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.

引用

页数：17

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