Laplacians on Metric Graphs: Eigenvalues, Resolvents and Semigroups

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dc.creatorKostrykin, Vadim
dc.creatorSchrader, Robert
dc.date2006-01-20
dc.date.accessioned2026-07-07T06:58:24Z
dc.date.available2026-07-07T06:58:24Z
dc.descriptionThe main objective of the present work is to study the negative spectrum of (differential) Laplace operators on metric graphs as well as their resolvents and associated heat semigroups. We prove an upper bound on the number of negative eigenvalues and a lower bound on the spectrum of Laplace operators. Also we provide a sufficient condition for the associated heat semigroup to be positivity preserving.
dc.descriptionTo be published in the Proceedings of the Conference on Quantum Graphs and Their Applications held in Snowbird, Utah, June 18 -- June 24, 2005
dc.identifierhttps://arxiv.org/abs/math-ph/0601041
dc.identifierhttp://arxiv.org/abs/math-ph/0601041
dc.identifierContemporary Mathematics Vol. 415, 2006. p. 201 - 225
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107342
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject34B45; 34L15; 47D03
dc.titleLaplacians on Metric Graphs: Eigenvalues, Resolvents and Semigroups
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