The distribution of exterior transmission eigenvalues for spherically stratified media

被引：1
作者：
Zhang, Yalin [1 ]
Zhao, Jia [2 ]
机构：
[1] Tianjin Univ Technol, Dept Math, Tianjin 300384, Peoples R China
[2] Hebei Univ Technol, Dept Math, Tianjin 300401, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 04期
基金：
中国国家自然科学基金;
关键词：
inverse scattering; exterior transmission eigenvalues; number; distribution; spectral theory; PARTIAL INFORMATION; UNIQUENESS;
D O I：
10.3934/math.2023487
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The exterior transmission eigenvalues corresponding to spherical symmetry media and spherically symmetric eigenfunctions are considered. Under various coefficient conditions, we give the number and the asymptotic distribution (described by the subscript numbers) of these eigenvalues in the complex plane.
引用
收藏
页码：9647 / 9670
页数：24
相关论文
共 40 条
[31]   The factorization method for a cavity in an inhomogeneous medium [J].
Meng, Shixu ;
Haddar, Houssem ;
Cakoni, Fioralba .
INVERSE PROBLEMS, 2014, 30 (04)
[32]   The inverse interior transmission eigenvalue problem with mixed spectral data [J].
Wang, Yu Ping ;
Shieh, Chung Tsun .
APPLIED MATHEMATICS AND COMPUTATION, 2019, 343 :285-298
[33]   Inverse spectral analysis for the transmission eigenvalue problem [J].
Wei, Guangsheng ;
Xu, Hong-Kun .
INVERSE PROBLEMS, 2013, 29 (11)
[34]   On the stability of the inverse transmission eigenvalue problem from the data of McLaughlin and Polyakov [J].
Xu, Xiao-Chuan ;
Ma, Li-Jie ;
Yang, Chuan-Fu .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 316 :222-248
[35]   On the direct and inverse transmission eigenvalue problems for the Schrodinger operator on the half line [J].
Xu, Xiao-Chuan .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (15) :8434-8448
[36]   Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem [J].
Xu, Xiao-Chuan ;
Yang, Chuan-Fu ;
Buterin, Sergey A. ;
Yurko, Vjacheslav A. .
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2019, (38) :1-15
[37]   Distribution of transmission eigenvalues and inverse spectral analysis with partial information on the refractive index [J].
Xu, Xiao-Chuan ;
Xu, Xin-Jian ;
Yang, Chuan-Fu .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (18) :5330-5342
[38]   Uniqueness of the interior transmission problem with partial information on the potential and eigenvalues [J].
Yang, Chuan-Fu ;
Buterin, Sergey .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (06) :4871-4887
[39]   The uniqueness for inverse discrete exterior transmission eigenvalue problems in spherically symmetric media [J].
Zhang, Yalin ;
Shi, Guoliang .
APPLICABLE ANALYSIS, 2021, 100 (16) :3463-3477
[40]   Spectral properties of exterior transmission problem for spherically stratified anisotropic media [J].
Zhang, Yalin .
APPLICABLE ANALYSIS, 2021, 100 (08) :1668-1692
1234