\(\psi\)-Li-Yau inequality for the \(p\)-Laplacian on weighted graphs with the \(CD_p^\psi (m, 0)\) curvature

DOI10.1016/J.JMAA.2023.127911OpenAlexW4388487151MaRDI QIDQ6181154

Yongtao Liu

Publication date: 2 January 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127911

zbMATH Keywords

inequalityboundsLaplacianweighted\(\psi\)-Li-Yau inequalityHamack inequality

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Signed and weighted graphs (05C22) Quasilinear parabolic equations with (p)-Laplacian (35K92) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

• Davies-Gaffney-Grigor'yan Lemma on graphs
• Parabolic theory of the discrete \(p\)-Laplace operator
• Time regularity and long-time behavior of parabolic \(p\)-Laplace equations on infinite graphs
• Global gradient estimate on graph and its applications
• On the parabolic kernel of the Schrödinger operator
• Li-Yau inequality on finite graphs via non-linear curvature dimension conditions
• Remarks on Li-Yau inequality on graphs
• Gradient estimates on connected graphs with the \(CD\psi (m,K)\) condition
• Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs
• Perpetual cutoff method and \(CDE^{\prime} (K, N)\) condition on graphs
• Ricci curvature and eigenvalue estimate on locally finite graphs
• Li-Yau inequality for unbounded Laplacian on graphs
• Li-Yau inequality on graphs
• Eigenvalue estimates for the p-Laplace operator on the graph
• Discrete versions of the Li-Yau gradient estimate

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