An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound

被引：9

作者：

Arancibia, Rogelio ^{[2
]}

Lecaros, Rodrigo ^{[2
]}

Mercado, Alberto ^{[2
]}

Zamorano, Sebastian ^{[1
]}

机构：

[1] Univ Santiago Chile USACH, Fac Ciencia, Dept Matemat & Ciencia Comp, Casilla 307,Correo 2, Santiago, Chile

[2] Univ Tecn Federico Santa Maria, Dept Matemat, Casilla 110-V, Valparaiso, Chile

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2022年 / 30卷 / 05期

关键词：

Carleman inequalities; Bukhgeim-Klibanov method; hidden regularity; Moore-Gibson-Thompson equation; OBSERVABILITY; COEFFICIENT; UNIQUENESS; WAVES;

D O I：

10.1515/jiip-2020-0090

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the inverse problem of recovering a space-dependent coefficient of the Moore-Gibson-Thompson (MGT) equation from knowledge of the trace of the solution on some open subset of the boundary. We obtain the Lipschitz stability for this inverse problem, and we design a convergent algorithm for the reconstruction of the unknown coefficient. The techniques used are based on Carleman inequalities for wave equations and properties of the MGT equation.

引用

页码：659 / 675

页数：17

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