Translator Disclaimer
2021 Reconstruction of the Sturm--Liouville Operator on a Graph from Subinterval Nodes
Chuan-Fu Yang, Sheng-Yu Guan
Author Affiliations +
Taiwanese J. Math. Advance Publication 1-12 (2021). DOI: 10.11650/tjm/210302

Abstract

We consider inverse subinterval-nodal problems for the Sturm--Liouville operator on a star graph with mixed boundary conditions in pendant vertices and the standard matching conditions at the interior vertex. Can subinterval nodes recognize star-shaped quantum graphs? In this paper we give a positive answer. It is shown that the data of subinterval-nodes near the interior vertex can uniquely determine the potential on a graph and boundary conditions.

Citation

Download Citation

Chuan-Fu Yang. Sheng-Yu Guan. "Reconstruction of the Sturm--Liouville Operator on a Graph from Subinterval Nodes." Taiwanese J. Math. Advance Publication 1 - 12, 2021. https://doi.org/10.11650/tjm/210302

Information

Published: 2021
First available in Project Euclid: 11 March 2021

Digital Object Identifier: 10.11650/tjm/210302

Subjects:
Primary: 34A55, 34B45, 47E05

Rights: Copyright © 2021 The Mathematical Society of the Republic of China

JOURNAL ARTICLE
12 PAGES


SHARE
Advance Publication
Back to Top