Journal article
Gradient estimates for elliptic systems in non-smooth domains
Mathematische annalen, Vol.341(3), pp.629-650
07/2008
DOI: 10.1007/s00208-008-0207-6
Abstract
We obtain the global W
1,p
, 1 < p < ∞, estimate for the weak solution of an elliptic system with discontinuous coefficients in non-smooth domains without using maximal function approach. It is assumed that the boundary of a bounded domain is well approximated by hyperplanes at every point and at every scale, and that the tensor coefficients belong to BMO space with their BMO semi-norms sufficiently small.
Details
- Title: Subtitle
- Gradient estimates for elliptic systems in non-smooth domains
- Creators
- Sun-Sig Byun - Department of Mathematical Sciences Seoul National University Seoul 151-747 South KoreaLihe Wang - College of Sciences Xian Jiaotong University Xian 710049 China
- Resource Type
- Journal article
- Publication Details
- Mathematische annalen, Vol.341(3), pp.629-650
- Publisher
- Springer-Verlag
- DOI
- 10.1007/s00208-008-0207-6
- ISSN
- 0025-5831
- eISSN
- 1432-1807
- Language
- English
- Date published
- 07/2008
- Academic Unit
- Mathematics
- Record Identifier
- 9984083995302771
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