Comparison of Green functions and harmonic measures for parabolic operators
type: Item
instance of: scholarly article
title: Comparison of Green functions and harmonic measures for parabolic operators
zbMATH Open document ID: 1071.31002
author: Lotfi Riahi
published in: Potential Analysis
publication date: 2005-06-09T00:00:00Z
review text: The paper provides two-sided pointwise estimates for the Green function of a parabolic operator \[ \partial/\partial t - \text{div\,}(A(x,t)\nabla_x) + B(x,t)\cdot \nabla_x \] with real, symmetric, uniformly elliptic and Lipschitz continuous matrix \(A(x,t)\) and singular first order term over a \(C^{1,1}\)-cylindrical domain \(\Omega.\) On the base of these estimates, the author establishes equivalence of the parabolic measure, the adjoint parabolic measure and the surface measure of the lateral boundary of \(\Omega.\)
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 31B25
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35K10
Mathematics Subject Classification ID: 58J35
zbMATH DE Number: 2174533
zbMATH Keywords: parabolic operator
zbMATH Keywords: Green function
zbMATH Keywords: Poisson kernel
zbMATH Keywords: harmonic measure
MaRDI profile type: Publication
full work available at URL: s11118-005-2606-6
OpenAlex ID: W1993926619
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DOI: 10.1007/S11118-005-2606-6
description: scientific article; zbMATH DE number 2174533