L p estimates for parabolic equations in Reifenberg domains

Sun-Sig Byun; Lihe Wang

doi:10.1016/j.jfa.2004.10.014

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L p estimates for parabolic equations in Reifenberg domains

Journal article

Open access

Peer reviewed

L p estimates for parabolic equations in Reifenberg domains

Sun-Sig Byun and Lihe Wang

Journal of functional analysis, Vol.223(1), pp.44-85

2005

DOI: 10.1016/j.jfa.2004.10.014

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Abstract

The inhomogeneous Neumann problem for parabolic equations in divergence form is studied. An optimal regularity requirement on the domain for the L p -theory is investigated, assuming that the principal coefficients are supposed to be in the John–Nirenberg space with small BMO semi-norms and that the domain is a Reifenberg flat domain.

Vitali covering lemma

Reifenberg flat domain

Maximal function

Details

Title: Subtitle: L p estimates for parabolic equations in Reifenberg domains
Creators: Sun-Sig Byun - Department of Mathematics, Seoul National University, Seoul 151–747, Korea
Lihe Wang - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
Resource Type: Journal article
Publication Details: Journal of functional analysis, Vol.223(1), pp.44-85
DOI: 10.1016/j.jfa.2004.10.014
ISSN: 0022-1236
eISSN: 1096-0783
Publisher: Elsevier Inc
Language: English
Date published: 2005
Academic Unit: Mathematics
Record Identifier: 9984083821602771

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