THE INVERSE SCATTERING PROBLEM ON A FIXED ENERGY-LEVEL FOR THE 2-DIMENSIONAL SCHRODINGER OPERATOR

被引：120

作者：

NOVIKOV, RG ^{[1
]}

机构：

[1] MITPAN,MOSCOW 113556,USSR

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1992年 / 103卷 / 02期

关键词：

D O I：

10.1016/0022-1236(92)90127-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper contains a solution with complete proofs of the main problems of the inverse scattering at fixed energy E for the Schrödinger two-dimensional operator with decreasing coefficients (uniqueness of the reconstruction, a reconstruction procedure, characterization of the scattering data). Most completed results are obtained under the condition of "smallness" of coefficients in comparison with the number E. This paper develops and generalizes several preceded papers. © 1992.

引用

页码：409 / 463

页数：55

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