Inverse Scattering Problem for the High Order Schrodinger Operator at Fixed Angles Scattering Amplitude

被引：0

作者：

Huang, Hua ^{[1
]}

Li, Huizhen ^{[2
,3
]}

Zhou, Zhigang ^{[2
,3
]}

机构：

[1] Wuhan Coll, Sch Informat Engn, Wuhan 430212, Hubei, Peoples R China

[2] Wuhan Text Univ, Sch Math & Phys Sci, Wuhan 430200, Hubei, Peoples R China

[3] Wuhan Text Univ, Res Ctr Appl Math & Interdisciplinary Sci, Wuhan 430200, Hubei, Peoples R China

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2023年 / 30卷 / 04期

关键词：

Inverse scattering problem; Higher order Schrodinger operator; Scattering amplitude; Born sequence; BACKSCATTERING; POTENTIALS; EQUATION;

D O I：

10.1007/s44198-023-00158-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the inverse scattering problem for the higher order Schrodinger operator H=(-Delta)(m)+q(x), m=1,2, 3,.... We show that the scattering amplitude of H at fixed angles can uniquely determines the potential q(x) under certain assumptions, which extends the early results on this problem. The uniqueness of q(x) mainly depends on the construction of the Born approximation sequence and its estimation.

引用

页码：1804 / 1820

页数：17

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