Recovery of the singularities of a potential from fixed angle scattering data

被引：31

作者：

Ruiz, A ^{[1
]}

机构：

[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2001年 / 26卷 / 9-10期

关键词：

D O I：

10.1081/PDE-100107457

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 Schroedinger equation. We prove that for non-smooth potential the main singularities of the potential are contained in the Born approximation which can be obtained from measurement of the scattering amplitude in a single outgoing direction. We measure singularities in the scale of Sobolev spaces.

引用

页码：1721 / 1738

页数：18

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