Parabolic equations in Reifenberg domains
type: Item
instance of: scholarly article
title: Parabolic equations in Reifenberg domains
zbMATH Open document ID: 1073.35046
author: Sun-Sig Byun
author: Lihe Wang
published in: Archive for Rational Mechanics and Analysis
publication date: 2005-05-20T00:00:00Z
review text: The authors prove Sobolev-type estimates for weak solutions of inhomogeneous parabolic equations in divergence form in a bounded cylinder \(\Omega\times(0,T]\) which is \(\delta\)-Reifenberg flat in the space direction. The principal coefficients of the operator are assumed to be in BMO space with their BMO semi-norms small enough.
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K60
zbMATH DE Number: 2170068
zbMATH Keywords: parabolic equations, weak solutions, Reifenberg domain, BMO
zbMATH Keywords: small BMO coefficients
zbMATH Keywords: Sobolev-type estimates
reviewed by: Lubomira Softova
MaRDI profile type: Publication
full work available at URL: s00205-005-0357-6
OpenAlex ID: W2068477756
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DOI: 10.1007/S00205-005-0357-6
description: scientific article; zbMATH DE number 2170068