Hölder stability in determining the potential and the damping coefficient in a wave equation

被引：0

作者：

Kaïs Ammari

Mourad Choulli

Faouzi Triki

机构：

[1] University of Monastir,UR Analysis and Control of PDEs, UR 13ES64 Department of Mathematics, Faculty of Sciences of Monastir

[2] Université de Lorraine,Institut Élie Cartan de Lorraine, UMR CNRS 7502

[3] Université Grenoble-Alpes,Laboratoire Jean Kuntzmann, UMR CNRS 5224

来源：

Journal of Evolution Equations | 2019年 / 19卷

关键词：

Inverse problem; Hölder stability; Wave equation; Damping coefficient; Potential; 35R30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We improve the preceding results obtained by Ammari and Choulli (J Differ Equ 259(7):3344–3365, 2015). They concern the stability issue of the inverse problem that consists in determining the potential and the damping coefficient in a wave equation from an initial-to-boundary operator. We partially modify the arguments in Ammari and Choulli (2015) to show that actually we have a local Hölder stability instead of logarithmic stability.

引用

页码：305 / 319

页数：14

共 29 条

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