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Multi-parameter Div-Curl lemmas

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 17 Apr 2012Embargo end date: 01 Jan 2010 France English Publisher:WileyJournal:Bulletin of the London Mathematical Society, volume 44, pages 1,123-1,131 (issn: 0024-6093, Copyright policy )
Authors: Lacey, Michael T.; Petermichl, Stefanie; Pipher, Jill C.; Wick, Brett D.;

doi: 10.1112/blms/bds037 , 10.48550/arxiv.1001.2534

arXiv: 1001.2534

Multi-parameter Div-Curl lemmas

Abstract

We study the possible analogous of the Div-Curl Lemma in classical harmonic analysis and partial differential equations, but from the point of view of the multi-parameter setting. In this context we see two possible Div-Curl lemmas that arise. Extensions to differential forms are also given.

v1: 8 pages

Country
France
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Keywords

42B37 (35F35), Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV)

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 7
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Average
Average
Green
bronze