A note on Ambarzumian's theorem for quantum graphs
type: Item
instance of: scholarly article
title: A note on Ambarzumian's theorem for quantum graphs
zbMATH Open document ID: 1546.34032
author: Q6083361
author: J. Kerner
published in: Archiv der Mathematik
publication date: 2024-06-28T00:00:00Z
review text: This work, based on the main result presented in [\textit{P. Bifulco} and \textit{J. Kerner}, Proc. Am. Math. Soc. 152, No. 1, 295--306 (2024; Zbl 1526.34063)], the authors derive Ambarzumian-type theorems for Schrödinger operators defined on quantum graphs. This result generalizes corresponding [\textit{R. Carlson} and \textit{V. Pivovarchik}, Electron. J. Differ. Equ. 2007, Paper No. 142, 9 p. (2007; Zbl 1138.34303)]. The result is interesting and valuable for understanding inverse spectral problems.
reviewed by: Chuan-Fu Yang
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 81Q35
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 7873278
zbMATH Keywords: quantum graphs
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: eigenvalues
zbMATH Keywords: Ambarzumian theorem
MaRDI profile type: Publication
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DOI: 10.1007/S00013-024-01997-9
description: scientific article; zbMATH DE number 7873278