Journal article
DIVERGENCE FORM PARABOLIC EQUATIONS ON TIME-DEPENDENT QUASICONVEX DOMAINS
International journal of mathematics, Vol.23(12), pp.1250128-1250117
12/2012
DOI: 10.1142/S0129167X12501285
Abstract
In this paper, we show the
$W^{1, p}_*$
regularity of divergence form parabolic equations on time-dependent quasiconvex domains. The objective is to study the optimal parabolic boundary condition for the Lp estimates. The time-dependent quasiconvex domain is a generalization of the time-dependent Reifenberg flat domain, and assesses some properties analog to the convex domain. As to the a priori estimates near the boundary, we will apply the maximal function technique, Vitali covering lemma and the compactness method.
Details
- Title: Subtitle
- DIVERGENCE FORM PARABOLIC EQUATIONS ON TIME-DEPENDENT QUASICONVEX DOMAINS
- Creators
- HUILIAN JIA - School of Mathematics and Statistics, Xi'An Jiaotong University, Xi'An, 710049, Shaanxi, P. R. ChinaLIHE WANG - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
- Resource Type
- Journal article
- Publication Details
- International journal of mathematics, Vol.23(12), pp.1250128-1250117
- Publisher
- World Scientific Publishing Company
- DOI
- 10.1142/S0129167X12501285
- ISSN
- 0129-167X
- eISSN
- 1793-6519
- Language
- English
- Date published
- 12/2012
- Academic Unit
- Mathematics
- Record Identifier
- 9984083299602771
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