Stability of the determination of the surface impedance of an obstacle from the scattering amplitude

被引：9

作者：

Bellassoued, Mourad ^{[1
]}

Choulli, Mourad ^{[2
,3
]}

Jbalia, Aymen ^{[1
,2
,3
]}

机构：

[1] Fac Sci Bizerte, Dept Math, Bizerte 7021, Tunisia

[2] Univ Lorraine, LMAM, UMR 7122, F-57045 Metz 1, France

[3] CNRS, F-57045 Metz 1, France

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 18期

关键词：

stability estimate of logarithmic type; surface impedance of an obstacle; scattering amplitude; elliptic Carleman inequality;

D O I：

10.1002/mma.2762

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a stability estimate of logarithmic type for the inverse problem consisting in the determination of the surface impedance of an obstacle from the scattering amplitude. We present a simple and direct proof, which is essentially based on an elliptic Carleman inequality. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：2429 / 2448

页数：20

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