Inverse Scattering Problems with the Potential Known on an Interior Subinterval

被引：0
|
作者：
Guo, Yongxia [1 ]
Wei, Guangsheng [1 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY | 2019年 / 15卷 / 02期
基金：
中国博士后科学基金;
关键词：
Schrodinger equation; inverse scattering problem; potential recovery with partial data; RECONSTRUCTION; LINE;
D O I：
10.15407/mag15.02.225
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The inverse scattering problem for one-dimensional Schrodinger operators on the line is considered when the potential is real valued and integrable and has a finite first moment. It is shown that the potential on the line is uniquely determined by the mixed scattering data consisting of the scattering matrix, known potential on a finite interval, and one nodal point on the known interval for each eigenfunction.
引用
收藏
页码：225 / 238
页数：14
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