Reconstruction and uniqueness of an inverse scattering problem with impedance boundary

被引：19

作者：

Liu, JJ ^{[1
]}

Cheng, J

Nakamura, G

机构：

[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China

[2] Southeast Univ, Dept Appl Math, Nanjing 210096, Peoples R China

[3] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China

[4] Hokkaido Univ, Grad Sch Sci, Dept Math, Sapporo, Hokkaido 0600810, Japan

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2002年 / 45卷 / 11期

关键词：

inverse scattering; inversion; uniqueness; probe method;

D O I：

10.1007/BF02880035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider an inverse scattering problem for a scatterer D subset of R-3 with impedance type boundary condition. By defining the scatterer shape in a completely new way, we give a constructive method to recover the scatterer shape with unknown impedance coefficient. The uniqueness for this inverse problem is also obtained.

引用

页码：1408 / 1419

页数：12

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