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Unbounded Laplacians on graphs: Basic spectral properties and the heat equation

Mathematical Modelling of Natural Phenomena (2010) 5(4) 198-224
DOI: 10.1051/mmnp/20105409
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Abstract

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. © EDP Sciences, 2010.

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Keller, M., & Lenz, D. (2010). Unbounded Laplacians on graphs: Basic spectral properties and the heat equation. Mathematical Modelling of Natural Phenomena, 5(4), 198–224. https://doi.org/10.1051/mmnp/20105409

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