On a Non-uniqueness Theorem of the Inverse Transmission Eigenvalues Problem for the Schrodinger Operator on the Half Line

被引：4
|
作者：
Xu, Xiao-Chuan [1 ]
Yang, Chuan-Fu [2 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
[2] Nanjing Univ Sci & Technol, Sch Sci, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2019年 / 74卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Transmission eigenvalue; inverse spectral problem; Schrodinger operator; SPHERICALLY SYMMETRICAL SPEED; RECONSTRUCTION;
D O I：
10.1007/s00025-019-1033-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that all the transmission eigenvalues (including multiplicity) of the Schrodinger operator on the half line can not uniquely determine the potential if the certain constant is unknown, which gives an answer to the open question raised by Aktosun et al. (Inverse Probl 30:075001, 2014).
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页数：7
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