Schrödinger operators on graphs and geometry. II: Spectral estimates for \(L_1\)-potentials and an Ambartsumian theorem
type: Item
instance of: scholarly article
title: Schrödinger operators on graphs and geometry. II: Spectral estimates for \(L_1\)-potentials and an Ambartsumian theorem
zbMATH Open document ID: 1403.34030
author: Jan Boman
author: Pavel Kurasov
author: Rune Suhr
published in: Integral Equations and Operator Theory
publication date: 2018-07-24T00:00:00Z
review text: The boundary value problem \(L(q)\) is considered for the Sturm-Liouville equation \[ -y''+q(x)y=\lambda y \] on a compact graph under the so-called standard boundary conditions. The main result is an estimate of the difference between eigenvalues of two boundary value problems \(L(q)\) and \(L(0)\). For Part I, see [the second author, J. Funct. Anal. 254, No. 4, 934--953 (2008; Zbl 1140.81387)].
Mathematics Subject Classification ID: 34B45
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 6909750
zbMATH Keywords: geometrical graphs
zbMATH Keywords: Sturm-Liouville operators
zbMATH Keywords: eigenvalues
reviewed by: V. A. Yurko
MaRDI profile type: Publication
full work available at URL: s00020-018-2467-1
OpenAlex ID: W2807447033
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DOI: 10.1007/S00020-018-2467-1
description: scientific article; zbMATH DE number 6909750