INVERSE TRANSMISSION EIGENVALUE PROBLEM FOR FIXED ANGULAR MOMENTUM

被引：1
|
作者：
Xu, Xin-Jian [1 ]
Yang, Chuan-Fu [1 ]
Xu, Xiao-Chuan [2 ]
机构：
[1] Nanjing Univ Sci & Technol, Dept Math, Sch Math & Stat, Nanjing 210094, Jiangsu, Peoples R China
[2] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
来源：
INVERSE PROBLEMS AND IMAGING | 2023年 / 17卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Interior transmission eigenvalue; radial Schrodinger operator; Bessel operator; inverse spectral problem; UNIQUENESS;
D O I：
10.3934/ipi.2022039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the inverse problem of the interior transmission eigenvalue problem for spherically stratified media with fixed angular-momentum quantum number l. Under the case integral(1)(0) root rho(r)dr <= 1, we show that a knowledge of all the transmission eigenvalues for l uniquely determine the refraction index rho(r) on [0, 1]. And under the case integral(1)(0) root rho(r)dr > 1, we show that all the transmission eigenvalues for fixed l with a partial information of the refraction index rho(r) imply the uniqueness of rho(r) on [0, 1].
引用
收藏
页码：263 / 274
页数：12
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