Global gradient estimate on graph and its applications

DOI10.1007/S10114-016-5642-9zbMath1361.58013arXiv1510.07117OpenAlexW2963484199WikidataQ125725840 ScholiaQ125725840MaRDI QIDQ520530

Shuang Liu, Yong Lin, Yun Yan Yang

Publication date: 3 April 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07117

zbMATH Keywords

gradient estimateHarnack inequalityglobal gradient estimatelocally finite graph

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (6)

\(\psi\)-Li-Yau inequality for the \(p\)-Laplacian on weighted graphs with the \(CD_p^\psi (m, 0)\) curvature ⋮ Remarks on Li-Yau inequality on graphs ⋮ On-diagonal lower estimate of heat kernels on graphs ⋮ Harnack and mean value inequalities on graphs ⋮ Li-Yau inequality for unbounded Laplacian on graphs ⋮ Li-Yau Gradient Estimate on Graphs

Cites Work

• Unnamed Item
• Davies-Gaffney-Grigor'yan Lemma on graphs
• Gradient estimates for the equation \(\Delta u + cu ^{-\alpha} = 0\) on Riemannian manifolds
• Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds
• On the parabolic kernel of the Schrödinger operator
• Gradient estimates and Harnack inequalities for nonlinear parabolic and nonlinear elliptic equations on Riemannian manifolds
• Parabolic Harnack inequality and estimates of Markov chains on graphs
• Gradient estimates and a Liouville type theorem for the Schrödinger operator
• A gradient estimate for positive functions on graphs
• Ricci curvature and eigenvalue estimate on locally finite graphs
• Li-Yau inequality on graphs
• Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds

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