Davies-Gaffney-Grigor'yan Lemma on graphs

DOI10.4310/CAG.2015.v23.n5.a4zbMath1342.58013arXiv1402.3457WikidataQ124810821 ScholiaQ124810821MaRDI QIDQ265097

Bobo Hua, Frank Bauer, Shing Tung Yau

Publication date: 1 April 2016

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3457

zbMATH Keywords

Harnack inequalityCheng eigenvalue estimateCheng Liouville TheoremDavies-Gaffney-Grigoryan Lemmafinite graphsLi-Yau inequality on graphsYau Liouville Theorem

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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Curvature notions on graphs ⋮ Sharp Davies-Gaffney-Grigor'yan lemma on graphs ⋮ \(\psi\)-Li-Yau inequality for the \(p\)-Laplacian on weighted graphs with the \(CD_p^\psi (m, 0)\) curvature ⋮ The Geometric Meaning of Curvature: Local and Nonlocal Aspects of Ricci Curvature ⋮ The Kazdan-Warner equation on canonically compactifiable graphs ⋮ Global gradient estimate on graph and its applications ⋮ A gradient estimate for positive functions on graphs ⋮ Ricci curvature, graphs and eigenvalues ⋮ Davies-Gaffney-Grigor'yan lemma on simplicial complexes ⋮ Coverings and the heat equation on graphs: Stochastic incompleteness, the Feller property, and uniform transience ⋮ Li-Yau inequality for unbounded Laplacian on graphs

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