Li-Yau inequality for unbounded Laplacian on graphs

DOI10.1016/j.aim.2019.106822zbMath1428.35651arXiv1801.06021OpenAlexW2979099670MaRDI QIDQ2335477

Chao Gong, Shuang Liu, Yong Lin, Shing Tung Yau

Publication date: 14 November 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06021

zbMATH Keywords

Harnack inequalitysemigroupheat kernelDirichlet forminfinitesimal generatoreigenvalue estimatecomplete weighted graphunbounded LaplacianLi-Yau inequalityiterated gradient form

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (14)

Ricci curvature, Bruhat graphs and Coxeter groups ⋮ Ricci curvature of Bruhat orders ⋮ Graphs with positive spectrum ⋮ \(\psi\)-Li-Yau inequality for the \(p\)-Laplacian on weighted graphs with the \(CD_p^\psi (m, 0)\) curvature ⋮ Ultracontractivity and functional inequalities on infinite graphs ⋮ Perpetual cutoff method and \(CDE^{\prime} (K, N)\) condition on graphs ⋮ Ricci curvature, graphs and eigenvalues ⋮ Hamilton inequality for unbounded Laplacians on graphs ⋮ Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates ⋮ Li-Yau Gradient Estimate on Graphs ⋮ Multiple solutions for a generalized Chern-Simons equation on graphs ⋮ Heat kernel and monotonicity inequalities on the graph ⋮ NODE-WEIGHTED AVERAGE DISTANCES OF NETWORKS MODELED ON THREE-DIMENSIONAL VICSEK FRACTAL ⋮ Bakry-Émery curvature on graphs as an eigenvalue problem

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