L p regularity theory for linear elliptic systems

Sun-Sig Byun; Hongbin Chen; Mijoung Kim; Lihe Wang

doi:10.3934/dcds.2007.18.121

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L p regularity theory for linear elliptic systems

Journal article

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L p regularity theory for linear elliptic systems

Sun-Sig Byun, Hongbin Chen, Mijoung Kim and Lihe Wang

Discrete and continuous dynamical systems, Vol.18(1), pp.121-134

2007

DOI: 10.3934/dcds.2007.18.121

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Abstract

We consider the conormal derivative problem for an elliptic system in divergence form with discontinuous coefficients in a more general geometric setting. We obtain the Lp, 1<p<∞, regularity of the maximum order derivatives of the weak solutions for such a problem.

Details

Title: Subtitle: L p regularity theory for linear elliptic systems
Creators: Sun-Sig Byun
Hongbin Chen
Mijoung Kim
Lihe Wang
Resource Type: Journal article
Publication Details: Discrete and continuous dynamical systems, Vol.18(1), pp.121-134
DOI: 10.3934/dcds.2007.18.121
ISSN: 1553-5231
eISSN: 1553-5231
Language: English
Date published: 2007
Academic Unit: Mathematics
Record Identifier: 9984083202502771

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