Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation

Autoren: Matthias Keller, Daniel Lenz (2010)

We discuss Laplacians on graphs in a framework of regular Dirichlet forms. We focus on phenomena related to unboundedness of the Laplacians. This includes (failure of) essential selfadjointness, absence of essential spectrum and stochastic incompleteness.

Zeitschrift:
Mathematical Modeling of Natural Phenomena
Buchtitel:
"Spectral Problems"
Seiten:
198-204
Band:
5

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