Inverse scattering for the higher order Schrodinger operator with a first order perturbation

被引：1

作者：

Huang, Hua ^{[1
,2
]}

Duan, Zhiwen ^{[1
,2
]}

Zheng, Quan ^{[1
,2
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Hubei, Peoples R China

来源：

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2019年 / 27卷 / 03期

关键词：

Higher order Schrodinger operator; inverse scattering; complex geometrical optics solutions; BIHARMONIC OPERATOR; EQUATION;

D O I：

10.1515/jiip-2018-0036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper concerns inverse scattering problems at a fixed energy for the higher order Schrodinger operator with the first order perturbed potentials in dimensions n >= 3. We show that the scattering matrix uniquely determines the first order perturbed potentials and the zero order potentials.

引用

页码：409 / 427

页数：19

共 22 条

[1]

[Anonymous], GRUNDLEHREN MATH WIS

[2] Stability of the inverse boundary value problem for the biharmonic operator: Logarithmic estimates [J].