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.
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页码：346 / 359
页数：14
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