Bull. Austral. Math. Soc. 72(1) pp.31--38, 2005.
Div-curl type theorems on Lipschitz domains
Zengjian Lou |
This work is supported by NNSF of China (Grant No.
10371069), NSF of Guangdong Province (Grant No. 032038) and SRF for
ROCS, State Education Ministry.
This paper was done when the author visited the Centre for
Mathematics and its Applications (CMA) of Mathematical Sciences
Institute at the Australian National University.
The author would like to thank Professor Alan McIntosh
for helpful discussions and for supporting his visit to CMA in
September of 2003.
He also likes to thank CMA for hospitality during the
visit.
Abstract
For Lipschitz domains of
n we prove div-curl type
theorems, which are extensions to domains of the Div-Curl Theorem
on n by Coifman, Lions,
Meyer and Semmes. Applying the div-curl type theorems we give
decompositions of Hardy spaces on domains.
n we prove div-curl type
theorems, which are extensions to domains of the Div-Curl Theorem
on n by Coifman, Lions,
Meyer and Semmes. Applying the div-curl type theorems we give
decompositions of Hardy spaces on domains.Click to download PDF of this article (free access until July 2006)
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[an error occurred while processing this directive]| (Metadata: XML, RSS, BibTeX) | MathSciNet: MR2162291 | Z'blatt-MATH: 02212183 |
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