Hamilton inequality for unbounded Laplacians on graphs

DOI10.1016/j.difgeo.2021.101758zbMath1466.05123OpenAlexW3149537351WikidataQ115354568 ScholiaQ115354568MaRDI QIDQ2034556

Yongtao Liu

Publication date: 22 June 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2021.101758

zbMATH Keywords

complete graphHamilton inequality\(CDE^\prime(-K,\infty)\)non-degenerated measureunbounded Laplacians

Mathematics Subject Classification ID

Heat equation (35K05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Signed and weighted graphs (05C22) Infinite graphs (05C63) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

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• Remarks on curvature dimension conditions on graphs
• Stochastic completeness for graphs with curvature dimension conditions
• Ricci curvature of Markov chains on metric spaces
• Introduction to the theory of (non-symmetric) Dirichlet forms
• A matrix Harnack estimate for the heat equation
• Dirichlet forms and symmetric Markov processes
• Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions
• Ricci curvature and eigenvalue estimate on locally finite graphs
• Li-Yau inequality for unbounded Laplacian on graphs
• Li-Yau inequality on graphs
• Dirichlet forms and stochastic completeness of graphs and subgraphs
• Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation
• A Spacial Gradient Estimate for Solutions to the Heat Equation on Graphs

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