Parabolic initial boundary value problems in nonsmooth cylinders with data in anisotropic Besov spaces
type: Item
instance of: scholarly article
title: Parabolic initial boundary value problems in nonsmooth cylinders with data in anisotropic Besov spaces
zbMATH Open document ID: 1115.35057
author: Tünde Jakab
author: Marius Mitrea
published in: Mathematical Research Letters
publication date: 2007-02-05T00:00:00Z
review text: The authors prove sharp well-posedness results for the heat equation in arbitrary Lipschitz cylinders, when the boundary data are in parabolic Besov spaces and zero initial conditions. These results are proved by using the method of layer potentials extending \textit{R. M. Brown}'s ones in [Trans. Am. Math. Soc. 320, No. 1, 1--52 (1990; Zbl 0714.35037)].
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 5121800
zbMATH Keywords: anisotropic Sobolev spaces
zbMATH Keywords: Besov spaces
zbMATH Keywords: Heat operator
zbMATH Keywords: Lipschitz cylinder
zbMATH Keywords: Parabolic layer potentials
zbMATH Keywords: Initial boundary value problems
MaRDI profile type: Publication
DOI: 10.4310/MRL.2006.V13.N5.A12
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description: scientific article; zbMATH DE number 5121800