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The heat kernel of the Laplacian defined on a uniform grid

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Publication:1014252
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DOI10.1007/s00233-008-9082-4zbMath1171.35028OpenAlexW2062320204MaRDI QIDQ1014252

M. M. H. Pang

Publication date: 27 April 2009

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-008-9082-4


zbMATH Keywords

heat kernelsLaplacian on graphs


Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10)


Related Items (3)

Diffusion on Delone sets ⋮ Heat kernel bounds for the Laplacian on metric graphs of polygonal tilings ⋮ Variable exponent Hardy spaces associated with discrete Laplacians on graphs



Cites Work

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  • A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
  • Modified isoperimetric constants, and large time heat diffusion in Riemannian manifolds
  • Gaussian estimates for a heat equation on a network
  • SHARP HEAT KERNEL BOUNDS FOR SOME LAPLACE OPERATORS
  • Explicit Constants for Gaussian Upper Bounds on Heat Kernels
  • Heat Kernels of Graphs
  • Heat Kernel Lower Bounds on Riemannian Manifolds Using the Old Ideas of Nash
  • Analysis on Lie groups


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