On-diagonal lower estimate of heat kernels on graphs
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Publication:1746270
DOI10.1016/j.jmaa.2017.07.028zbMath1388.58017arXiv1612.08773OpenAlexW2561599486MaRDI QIDQ1746270
Publication date: 24 April 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.08773
Graph theory (05C99) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Heat kernel (35K08)
Related Items (7)
Weighted average geodesic distance of Vicsek network ⋮ AVERAGE GEODESIC DISTANCE OF NODE-WEIGHTED SIERPINSKI NETWORKS ⋮ On nonexistence of global solutions for a semilinear heat equation on graphs ⋮ Convergence of ground state solutions for nonlinear Schrödinger equations on graphs ⋮ \(p\)-Laplacian equations on locally finite graphs ⋮ Blow-up problems for nonlinear parabolic equations on locally finite graphs ⋮ On-diagonal lower estimate of heat kernels for locally finite graphs and its application to the semilinear heat equations
Cites Work
- Unnamed Item
- Unnamed Item
- Gaussian upper bounds for heat kernels of continuous time simple random walks
- Global gradient estimate on graph and its applications
- Note on basic features of large time behaviour of heat kernels
- Analysis of the physical Laplacian and the heat flow on a locally finite graph
- On the parabolic kernel of the Schrödinger operator
- Parabolic Harnack inequality and estimates of Markov chains on graphs
- On-diagonal lower bounds for heat kernels and Markov chains
- Lower bounds on \(\| K^ n \|_{1\to \infty}\) for some contractions \(K\) of \(L^ 2 (\mu)\), with applications to Markov operators
- Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions
- A gradient estimate for positive functions on graphs
- Ricci curvature and eigenvalue estimate on locally finite graphs
- Li-Yau inequality on graphs
- Sharp Davies-Gaffney-Grigor'yan lemma on graphs
- Dirichlet forms and stochastic completeness of graphs and subgraphs
- Large Deviations for Heat Kernels on Graphs
- Heat kernel and essential spectrum of infinite graphs
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