Sharp Davies-Gaffney-Grigor'yan lemma on graphs

DOI10.1007/s00208-017-1529-zzbMath1476.58027arXiv1604.01911OpenAlexW2962998866WikidataQ124963891 ScholiaQ124963891MaRDI QIDQ2402848

Frank Bauer, Bobo Hua, Shing Tung Yau

Publication date: 15 September 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01911

zbMATH Keywords

heat kernels on manifoldsDavies-Gaffney-Grigor'yan (DGG) lemmasharp DGG lemma on graphs

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35) Infinite graphs (05C63)

Related Items (14)

Positive solutions of Yamabe-type equations with function coefficients on graphs ⋮ Buser's inequality on infinite graphs ⋮ \(p\)-th Kazdan-Warner equation on graph in the negative case ⋮ Ricci curvature of Bruhat orders ⋮ Graphs with positive spectrum ⋮ Anchored heat kernel upper bounds on graphs with unbounded geometry and anti-trees ⋮ Positive solutions of \(p\)-th Yamabe type equations on graphs ⋮ EXISTENCE OF GLOBAL SOLUTIONS TO SOME NONLINEAR EQUATIONS ON LOCALLY FINITE GRAPHS ⋮ On-diagonal lower estimate of heat kernels on graphs ⋮ Ricci curvature, graphs and eigenvalues ⋮ Davies-Gaffney-Grigor'yan lemma on simplicial complexes ⋮ A new discrete Hopf-Rinow theorem ⋮ Coverings and the heat equation on graphs: Stochastic incompleteness, the Feller property, and uniform transience ⋮ On-diagonal lower estimate of heat kernels for locally finite graphs and its application to the semilinear heat equations

Cites Work

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• Geometric Analysis

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