The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains
type: Item
instance of: scholarly article
title: The \(L^p\) Neumann problem for the heat equation in non-cylindrical domains
zbMATH Open document ID: 1065.35125
author: John L. Lewis
author: Steve Hofmann
published in: Journal of Functional Analysis
publication date: 2005-03-08T00:00:00Z
review text: The paper studies the \(L^p\) Neumann problem for the heat equation when \(1<p<2\) in a time varying domain. It is proved a unique solvability of the problem under certain conditions on the domain. It is shown that this result is best possible.
reviewed by: Dagmar Medková
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 42B20
zbMATH DE Number: 2141635
zbMATH Keywords: time varying domain
zbMATH Keywords: single layer heat potential
zbMATH Keywords: \(1<p<2\)
MaRDI profile type: Publication
full work available at URL: j.jfa.2004.10.016
OpenAlex ID: W1986870004
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DOI: 10.1016/J.JFA.2004.10.016
description: scientific article; zbMATH DE number 2141635