Inverse Source Problem for a Wave Equation with Final Observation Data

被引：3

作者：

Jiang, Daijun ^{[1
,2
]}

Liu, Yikan ^{[3
]}

Yamamoto, Masahiro ^{[3
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China

[2] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China

[3] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

来源：

MATHEMATICAL ANALYSIS OF CONTINUUM MECHANICS AND INDUSTRIAL APPLICATIONS | 2017年 / 26卷

基金：

中国国家自然科学基金; 日本学术振兴会;

关键词：

HYPERBOLIC PROBLEM; STABILITY;

D O I：

10.1007/978-981-10-2633-1_11

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this chapter, we study the inverse problem on recovering a spatial component of the source term in a wave equation by the final observation data. Employing the analytic Fredholm theory, we establish a generic well-posedness result concerning the uniqueness of our inverse source problem. Numerically, by treating a corresponding minimization problem, we investigate the variational equation for the minimizer and develop an iterative thresholding algorithm. One- and two-dimensional numerical experiments are implemented to demonstrate the robustness and accuracy of the proposed algorithm.

引用

页码：153 / 164

页数：12

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