06-17 Vadim Kostrykin and Robert Schrader
Laplacians on Metric Graphs: Eigenvalues, Resolvents and Semigroups (91K, LaTeX 2e) Jan 20, 06
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. The 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.

Files: 06-17.src( 06-17.comments , 06-17.keywords , kostrykin-schrader-prepr.tex )