Inverse backscattering Born approximation for the magnetic Schrodinger equation in three dimensions

被引：1

作者：

Sandhu, Jan ^{[1
]}

Serov, Valery ^{[1
]}

机构：

[1] Univ Oulu, Dept Math Sci, SF-90100 Oulu, Finland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2014年 / 37卷 / 02期

基金：

芬兰科学院;

关键词：

SINGULARITIES; RECOVERY; SCATTERING; OPERATOR;

D O I：

10.1002/mma.2920

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inverse backscattering Born approximation is studied for the three-dimensional magnetic Schrodinger operator. Under the assumption that the Born series converges in the weighted space L--delta(2)(R-3), we calculate precisely the linear term and the first nonlinear (quadratic) term of this Born series. The estimation of smoothness of the first nonlinear term is also presented. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：265 / 269

页数：5

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