Explicit Formulas and Global Uniqueness for Phaseless Inverse Scattering in Multidimensions

被引：45

作者：

Novikov, R. G. ^{[1
,2
,3
]}

机构：

[1] Ecole Polytech, CNRS, UMR 7641, F-91128 Palaiseau, France

[2] RAS, IEPT, Moscow 117997, Russia

[3] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Russia

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2016年 / 26卷 / 01期

关键词：

Schrodinger equation; Scattering amplitude; Phaseless inverse scattering; 2-DIMENSIONAL SCHRODINGER OPERATOR; FIXED-ENERGY; 3; DIMENSIONS; STABILITY; POTENTIALS; INFINITY; EQUATION;

D O I：

10.1007/s12220-014-9553-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider phaseless inverse scattering for the Schrodinger equation with compactly supported potential in dimension d >= 2. We give explicit formulas for solving this problem from appropriate data at high energies. As a corollary, we give also a global uniqueness result for this problem with appropriate data on a fixed energy neighborhood.

引用

页码：346 / 359

页数：14

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