Journal article
The Conormal Derivative Problem for Elliptic Equations with BMO Coefficients on Reifenberg Flat Domains
Proceedings of the London Mathematical Society, Vol.90(1), pp.245-272
01/2005
DOI: 10.1112/S0024611504014960
Abstract
We study the inhomogeneous conormal derivative problem for the divergence form elliptic equation, assuming that the principal coefficients belong to the BMO space with small BMO semi-norms and that the boundary is δ-Reifenberg flat. These conditions for the W1, p-theory not only weaken the requirements on the coefficients but also lead to a more general geometric condition on the domain. In fact, the Reifenberg flatness is the minimal regularity condition for the W1, p-theory. 2000 Mathematics Subject Classification 35R05 (primary), 35J15 (secondary).
Details
- Title: Subtitle
- The Conormal Derivative Problem for Elliptic Equations with BMO Coefficients on Reifenberg Flat Domains
- Creators
- Sun-Sig Byun - Department of Mathematics, University of California Irvine, CA 92697, USA. E-mail: byun@math.uci.eduLihe Wang - Department of Mathematics, University of Iowa Iowa City, IA 52242, USA and Department of Mathematics, Xian Jiaotong University Xian 710049, China. E-mail: lwang@math.uiowa.edu
- Resource Type
- Journal article
- Publication Details
- Proceedings of the London Mathematical Society, Vol.90(1), pp.245-272
- Publisher
- Oxford University Press
- DOI
- 10.1112/S0024611504014960
- ISSN
- 0024-6115
- eISSN
- 1460-244X
- Language
- English
- Date published
- 01/2005
- Academic Unit
- Mathematics
- Record Identifier
- 9984083218202771
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