A gradient estimate for positive functions on graphs
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Publication:2012972
DOI10.1007/S12220-016-9735-6zbMath1371.58016arXiv1509.07981OpenAlexW2962957878MaRDI QIDQ2012972
Yong Lin, Shuang Liu, Yun Yan Yang
Publication date: 3 August 2017
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.07981
Related Items (9)
Buser's inequality on infinite graphs ⋮ Weighted average geodesic distance of Vicsek network ⋮ GEODESIC DISTANCE ON LALLEY–GATZOURAS CARPETS ⋮ Remarks on Li-Yau inequality on graphs ⋮ On-diagonal lower estimate of heat kernels on graphs ⋮ Global gradient estimate on graph and its applications ⋮ Harnack and mean value inequalities on graphs ⋮ Li-Yau inequality for unbounded Laplacian on graphs ⋮ Li-Yau Gradient Estimate on Graphs
Cites Work
- 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
- Eigenvalue comparison theorems and its geometric applications
- Heat kernel bounds, conservation of probability and the Feller property
- Gradient estimates and a Liouville type theorem for the Schrödinger operator
- Ricci curvature and eigenvalue estimate on locally finite graphs
- Li-Yau inequality on graphs
- The conservation property of the heat equation on riemannian manifolds
- Integral maximum principle and its applications
- Generalized Solutions and Spectrum for Dirichlet Forms on Graphs
- Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
- Manifolds and graphs with slow heat kernel decay
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