Ambarzumyan Theorems for Dirac Operators

被引：3

作者：

Yang, Chuan-fu ^{[1
]}

Wang, Feng ^{[1
]}

Huang, Zhen-you ^{[1
]}

机构：

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

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2021年 / 37卷 / 02期

基金：

中国国家自然科学基金;

关键词：

inverse spectral problem; Dirac operator; vectorial Sturm-Liouville operator; Ambarzumyan’ s theorem; INVERSE SPECTRAL PROBLEMS; EXTENSION;

D O I：

10.1007/s10255-021-1007-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the inverse eigenvalue problems for stationary Dirac systems with differentiable self-adjoint matrix potential. The theorem of Ambarzumyan for a Sturm-Liouville problem is extended to Dirac operators, which are subject to separation boundary conditions or periodic (semi-periodic) boundary conditions, and some analogs of Ambarzumyan's theorem are obtained. The proof is based on the existence and extremal properties of the smallest eigenvalue of corresponding vectorial Sturm-Liouville operators, which are the second power of Dirac operators.

引用

页码：287 / 298

页数：12

共 24 条

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