On inverse scattering at a fixed energy for potentials with a regular behaviour at infinity

被引：18

作者：

Weder, R

Yafaev, D

机构：

[1] Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Mexico City 01000, DF, Mexico

[2] Univ Rennes 1, IRMAR, F-35042 Rennes, France

来源：

INVERSE PROBLEMS | 2005年 / 21卷 / 06期

关键词：

D O I：

10.1088/0266-5611/21/6/009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the inverse scattering problem for electric potentials and magnetic fields in R-d, d >= 3, that are asymptotic sums of homogeneous terms at infinity. The main result is that all these terms can be uniquely reconstructed from the singularities in the forward direction of the scattering amplitude at some positive energy.

引用

页码：1937 / 1952

页数：16

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