A partial inverse problem for quantum graphs with a loop

被引：0
|
作者：
Guan, Sheng-Yu [1 ]
Yang, Chuan-Fu [1 ]
Wu, Dong-Jie [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Sci, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
来源：
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS | 2021年 / 29卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Partial inverse problem; Sturm-Liouville operator; quantum graph; jump condition; Riesz basis; STURM-LIOUVILLE OPERATOR; SPECTRAL PROBLEMS;
D O I：
10.1515/jiip-2020-0085
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Sturm-Liouville operator on quantum graphs with a loop with the standard matching conditions in the internal vertex and the jump conditions at the boundary vertex. Given the potential on the loop, we try to recover the potential on the boundary edge from the subspectrum. The uniqueness theorem and a constructive algorithm for the solution of this partial inverse problem are provided.
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页码：577 / 585
页数：9
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