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
收藏
页码：153 / 164
页数：12
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