Weighted estimates of solutions to second order parabolic equations
type: Item
instance of: scholarly article
title: Weighted estimates of solutions to second order parabolic equations
zbMATH Open document ID: 1191.35057
author: Sungwon Cho
published in: Journal of Differential Equations
publication date: 2010-02-16T00:00:00Z
review text: The author evaluates the rate of decay for solutions to second order parabolic equations (in divergence and in non-divergence form) which vanish on the boundary, while the right-hand side is allowed to be unbounded. The approach is based on a special growth lemma in domains satisfying a general exterior measure condition. This result generalizes a paper due to Cho and Safonov where the elliptic case is considered
reviewed by: Vincenzo Vespri
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K90
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 5671640
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: Hölder continuity
zbMATH Keywords: growth lemma
zbMATH Keywords: exterior measure condition
MaRDI profile type: Publication
full work available at URL: j.jde.2009.11.019
OpenAlex ID: W2039717293
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DOI: 10.1016/J.JDE.2009.11.019
description: scientific article; zbMATH DE number 5671640