A partial inverse problem for quantum graphs with a loop-Reference-Cited by-同舟云学术

A partial inverse problem for quantum graphs with a loop

Published:2020-10-08 Issue:4 Volume:29 Page:577-585
ISSN:1569-3945
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Guan Sheng-Yu¹,Yang Chuan-Fu¹^ORCID,Wu Dong-Jie¹

Affiliation:

1. Department of Applied Mathematics , School of Science , Nanjing University of Science and Technology , Nanjing , 210094, Jiangsu , P. R. China

Abstract

Abstract 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.

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2020-0085/pdf

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