Schrödinger and polyharmonic operators on infinite graphs: parabolic well-posedness and \(p\)-independence of spectra

DOI10.1016/j.jmaa.2020.124748zbMath1460.35091arXiv2003.12031OpenAlexW3013285375MaRDI QIDQ1995895

Delio Mugnolo, Simon Becker, Federica Gregorio

Publication date: 25 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12031

zbMATH Keywords

Schrödinger operatorsquantum graphspolyharmonic operatorspectral independenceultracontractive semigroups

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Schrödinger operator, Schrödinger equation (35J10) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (4)

Evolution equations with eventually positive solutions ⋮ Stability of (eventually) positive semigroups on spaces of continuous functions ⋮ The heat kernel on the diagonal for a compact metric graph ⋮ Ornstein-Uhlenbeck semigroups on star graphs

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