Heat kernel bounds, conservation of probability and the Feller property
type: Item
instance of: scholarly article
title: Heat kernel bounds, conservation of probability and the Feller property
zbMATH Open document ID: 0808.58041
DOI: 10.1007/BF02790359
author: E. Brian Davies
published in: Journal d'Analyse Mathématique
publication date: 1994-09-19T00:00:00Z
review text: The author studies conditions under which the heat semigroup of a weighted Laplace-Beltrami operator on a Riemannian manifold conserves probability and has the Feller property, respectively. He obtains a pointwise Gaussian upper bound on heat kernels. The results can be extended for instance to Lipschitz manifolds.
reviewed by: Helga Baum
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 35P20
Mathematics Subject Classification ID: 53C12
zbMATH DE Number: 640333
zbMATH Keywords: heat kernel
zbMATH Keywords: Laplacian
zbMATH Keywords: Riemannian manifold
zbMATH Keywords: Feller property
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 640333