Regularity and stability for the scattering map of a linearized inverse medium problem

被引：24

作者：

Bao, G ^{[1
]}

Chen, Y

Ma, FM

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[3] Jilin Univ, Dept Math, Changchun 130023, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 247卷 / 01期

基金：

美国国家科学基金会;

关键词：

inverse scattering; Helmholtz equation; linearization; regularity; stability;

D O I：

10.1006/jmaa.2000.6856

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main goal of this paper is to study the linearization of an inverse medium problem. Regularity and stability results are established for the near-field scattering map (or scattering matrix) which maps the scatterer to the scattered field. Properties on continuity and Frechet differentiability of the scattering map are examined. A lower bound of the linearized scattering map is obtained, which in particular characterizes the stability properties. These results are useful in the analysis of the nonlinear inverse scattering problem. (C) 2000 Academic Press.

引用

页码：255 / 271

页数：17

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