Journal article
Parabolic equations in time dependent Reifenberg domains
Advances in mathematics (New York. 1965), Vol.212(2), pp.797-818
2007
DOI: 10.1016/j.aim.2006.12.002
Abstract
In this paper we define time dependent parabolic Reifenberg domains and study
L
p
estimates for weak solutions of uniformly parabolic equations in divergence form on these domains. The basic assumption is that the principal coefficients are of parabolic BMO space with small parabolic BMO seminorms. It is shown that
L
p
estimates hold for time dependent parabolic
δ-Reifenberg domains.
Details
- Title: Subtitle
- Parabolic equations in time dependent Reifenberg domains
- Creators
- Sun-Sig Byun - Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Republic of KoreaLihe Wang - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
- Resource Type
- Journal article
- Publication Details
- Advances in mathematics (New York. 1965), Vol.212(2), pp.797-818
- DOI
- 10.1016/j.aim.2006.12.002
- ISSN
- 0001-8708
- eISSN
- 1090-2082
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 2007
- Academic Unit
- Mathematics
- Record Identifier
- 9984083222202771
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