STABILITY FOR TIME-DOMAIN ELASTIC WAVE EQUATIONS

被引：1
作者：
Chen, Bochao [1 ]
Gao, Yixian [1 ]
Ji, Shuguan [1 ]
Liu, Yang [1 ]
机构：
[1] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2024年 / 56卷 / 01期
基金：
中国国家自然科学基金;
关键词：
elastic wave equations; boundary control method; complex geometric optics solu-tions; Carleman estimate; BOUNDARY-VALUE PROBLEM; LIPSCHITZ STABILITY; STABILIZATION; UNIQUENESS; CONTROLLABILITY; INVERSES; THEOREM;
D O I：
10.1137/22M1508546
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the inverse scattering problem involving the timedomain elastic wave equations in a bounded d-dimensional domain. First, an explicit formula for the density reconstruction is established by means of the Dirichlet-to-Neumann operator. The reconstruction is mainly based on the modified boundary control method and complex geometric optics solutions for the elastic wave. Next, the stable observability is obtained by a Carleman estimate. Finally, the stability for the density is presented by the connect operator.
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收藏
页码：433 / 453
页数：21
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