A Note on Div-Curl Lemma

Gala, Sadek

Serdica Mathematical Journal (2007)

  • Volume: 33, Issue: 2-3, page 339-350
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 42B30, 46E35, 35B65.We prove two results concerning the div-curl lemma without assuming any sort of exact cancellation, namely the divergence and curl need not be zero, and d i v ( u v ) H 1 ( R d ) which include as a particular case, the result of [3].

How to cite

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Gala, Sadek. "A Note on Div-Curl Lemma." Serdica Mathematical Journal 33.2-3 (2007): 339-350. <http://eudml.org/doc/281464>.

@article{Gala2007,
abstract = {2000 Mathematics Subject Classification: 42B30, 46E35, 35B65.We prove two results concerning the div-curl lemma without assuming any sort of exact cancellation, namely the divergence and curl need not be zero, and \[div(u^−v^→) ∈ H^1(R^d)\] which include as a particular case, the result of [3].},
author = {Gala, Sadek},
journal = {Serdica Mathematical Journal},
keywords = {Compactness Compensated; Hardy Space; Sobolev Space; Compactness compensated; Hardy space; Sobolev space},
language = {eng},
number = {2-3},
pages = {339-350},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {A Note on Div-Curl Lemma},
url = {http://eudml.org/doc/281464},
volume = {33},
year = {2007},
}

TY - JOUR
AU - Gala, Sadek
TI - A Note on Div-Curl Lemma
JO - Serdica Mathematical Journal
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 33
IS - 2-3
SP - 339
EP - 350
AB - 2000 Mathematics Subject Classification: 42B30, 46E35, 35B65.We prove two results concerning the div-curl lemma without assuming any sort of exact cancellation, namely the divergence and curl need not be zero, and \[div(u^−v^→) ∈ H^1(R^d)\] which include as a particular case, the result of [3].
LA - eng
KW - Compactness Compensated; Hardy Space; Sobolev Space; Compactness compensated; Hardy space; Sobolev space
UR - http://eudml.org/doc/281464
ER -

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