Journal article
Parabolic equations with BMO nonlinearity in Reifenberg domains
Journal für die reine und angewandte Mathematik, Vol.615(615), pp.1-24
02/01/2008
DOI: 10.1515/CRELLE.2008.007
Abstract
We obtain the classical global Lp , 2 ≦ p < ∞, estimate for the spatial gradient of the weak solutions for a class of parabolic problems in a very general irregular domain whose model is a nonlinear parabolic equation in divergence form. We treat discontinuous nonlinearity of BMO type and δ-Reifenberg flat domains. These domains might have fractal boundaries.
Details
- Title: Subtitle
- Parabolic equations with BMO nonlinearity in Reifenberg domains
- Creators
- Sun-Sig Byun - Department of Mathematical Sciences, Seoul National University, Seoul 151-747, KoreaLihe Wang - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA College of Sciences, Xian Jiaotong University, Xian 710049, China
- Resource Type
- Journal article
- Publication Details
- Journal für die reine und angewandte Mathematik, Vol.615(615), pp.1-24
- Publisher
- Walter de Gruyter
- DOI
- 10.1515/CRELLE.2008.007
- ISSN
- 0075-4102
- eISSN
- 1435-5345
- Language
- English
- Date published
- 02/01/2008
- Academic Unit
- Mathematics
- Record Identifier
- 9984083295402771
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