STABILITY FOR TIME-DOMAIN ELASTIC WAVE EQUATIONS

被引：0

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

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.

引用

页码：433 / 453

页数：21

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