A Spacial Gradient Estimate for Solutions to the Heat Equation on Graphs

DOI10.1137/16M1091988zbMath1428.35144OpenAlexW2950958653WikidataQ127701527 ScholiaQ127701527MaRDI QIDQ5232137

Paul S. Horn

Publication date: 29 August 2019

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1091988

zbMATH Keywords

heat equationgradient estimatecurvaturecontinuous time random walkcurvature dimension inequality

Mathematics Subject Classification ID

Heat equation (35K05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Random walks on graphs (05C81) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (3)

Gradient estimates for Yamabe type equation on graphs ⋮ Perpetual cutoff method and \(CDE^{\prime} (K, N)\) condition on graphs ⋮ Hamilton inequality for unbounded Laplacians on graphs

Cites Work

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• Discrete versions of the Li-Yau gradient estimate
• Heat kernel and essential spectrum of infinite graphs

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