Small time heat kernel behavior on Riemannian complexes

zbMath1191.26005MaRDI QIDQ958351

Laurent Saloff-Coste, Melanie Pivarski

Publication date: 3 December 2008

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/117119

zbMATH Keywords

heat equationPoincaré inequalitypolytopal complexpolyhedral complexEuclidean complexpolynomial growth group

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Harmonic analysis on homogeneous spaces (43A85) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Inequalities involving derivatives and differential and integral operators (26D10) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (12)

The heat semigroup and Brownian motion on strip complexes ⋮ Rough hypoellipticity for the heat equation in Dirichlet spaces ⋮ Heat kernel asymptotics of local Dirichlet spaces as co-compact covers of finitely generated groups ⋮ Blow-up on metric graphs and Riemannian manifolds ⋮ Harnack inequalities and Gaussian estimates for random walks on metric measure spaces ⋮ Time regularity for local weak solutions of the heat equation on local Dirichlet spaces ⋮ The rate of decay of the Wiener sausage in local Dirichlet space ⋮ Widder's representation theorem for symmetric local Dirichlet spaces ⋮ Martin boundary of Brownian motion on Gromov hyperbolic metric graphs ⋮ Sobolev Inequalities in Familiar and Unfamiliar Settings ⋮ Quasisymmetric uniformization and heat kernel estimates ⋮ Parabolic Harnack inequality for time-dependent non-symmetric Dirichlet forms

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