Indefinite boundary value problems on graphs
type: Item
instance of: scholarly article
title: Indefinite boundary value problems on graphs
zbMATH Open document ID: 1254.34046
author: Sonja Currie
author: Bruce A. Watson
published in: Operators and Matrices
publication date: 2012-06-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/1707.01035
full work available at URL: oam-05-43-abs.pdf
Mathematics Subject Classification ID: 34B45
Mathematics Subject Classification ID: 34B09
Mathematics Subject Classification ID: 34L10
Mathematics Subject Classification ID: 34L20
zbMATH DE Number: 6045005
zbMATH Keywords: differential operators
zbMATH Keywords: graphs
zbMATH Keywords: indefinite
zbMATH Keywords: half-range completeness
zbMATH Keywords: eigenvalue asymptotics
MaRDI profile type: Publication
OpenAlex ID: W2963348173
arXiv ID: 1707.01035
DOI: 10.7153/OAM-05-43
review text: This paper studies the spectral theory of indefinite second order differential operators on metric graphs. The authors develop a variational formulation, prove completeness results for eigenfunctions, and obtain a max-min principle, which is applied to obtain an analog of Dirichlet-Neumann bracketing and asymptotics for the eigenvalues.
reviewed by: Guy Katriel
description: scientific article; zbMATH DE number 6045005