On stability for a translated obstacle with impedance boundary condition

被引：19
|
作者：
Liu, J
Seo, J
机构：
[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China
[2] Yonsei Univ, Dept Math, Seoul 120749, South Korea
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 59卷 / 05期
基金：
中国国家自然科学基金;
关键词：
inverse scattering; nonlinearity; stability; uniqueness;
D O I：
10.1016/j.na.2004.07.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers an inverse problem of determining the location of a known obstacle and its boundary impedance from one or two incident waves. We firstly derive a concrete formula of the far-field pattern due to a translation of the obstacle and perturbation of its boundary impedance. Based on this formula, we establish Lipschitz stability for the recovery of translation of an obstacle with one incident wave. In the special case of obstacle being a ball, Lipschitz stability for the recovery of both location and its boundary coefficient can be obtained using two incident waves. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：731 / 744
页数：14
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