The Div-Curl Lemma Revisited

Simple item page
dc.creatorPolisevski, Dan
dc.date2007-12-13
dc.date.accessioned2026-07-07T08:49:00Z
dc.date.available2026-07-07T08:49:00Z
dc.descriptionThe Div-Curl Lemma, which is the basic result of the compensated compactness theory in Sobolev spaces, was introduced by F. Murat (1978) with distinct proofs for the $L^2(Ω)$ and $L^p(Ω)$, $p \neq 2$, cases. In this note we present a slightly different proof, relying only on a Green-Gauss integral formula and on the usual Rellich-Kondrachov compactness properties.
dc.identifierhttps://arxiv.org/abs/0712.2133
dc.identifierhttp://arxiv.org/abs/0712.2133
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144147
dc.subjectFunctional Analysis
dc.subjectAnalysis of PDEs
dc.subject49J45; 46E40; 47B07
dc.titleThe Div-Curl Lemma Revisited
dc.typetext

Files

Collections

arXiv