The \(L^p\) regularity problem for the heat equation in non-cylindrical domains
type: Item
instance of: scholarly article
title: The \(L^p\) regularity problem for the heat equation in non-cylindrical domains
zbMATH Open document ID: 0934.35056
author: Steve Hofmann
author: John L. Lewis
published in: Illinois Journal of Mathematics
publication date: 2000-04-26T00:00:00Z
review text: The authors consider the Dirichlet problem for the heat equation in a domain with minimally smooth boundary. They obtain sharp \(L^p\) estimates fo the parabolic non tangential maximal function of the gradient of the solutions.
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 42B20
zbMATH DE Number: 1361056
zbMATH Keywords: parabolic equations
zbMATH Keywords: regularity
zbMATH Keywords: non-cylindrical domains
reviewed by: Giuseppe Di Fazio
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1361056