Inverse spectral problems for Dirac operators on a star graph with mixed boundary conditions

被引：4

作者：

Liu, Dai-Quan ^{[1
]}

Yang, Chuan-Fu ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Sci, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 13期

基金：

中国国家自然科学基金;

关键词：

Dirac operator; inverse spectral problem; mixed boundary conditions; star graph;

D O I：

10.1002/mma.7436

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to some inverse spectral problems for Dirac operators on a star graph with mixed boundary conditions in boundary vertices. By making use of Rouche's theorem, we derive the eigenvalue asymptotics of these operators. Besides, we show that for each of these operators, if the potentials are known a priori for all but one edge on the graph, then the potential on the remaining edge is uniquely determined by part of the potential on this edge and part of its spectrum. Our method relies upon some estimates of infinite products given by Horvath.

引用

页码：10663 / 10672

页数：10

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