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arXiv · 0712.2133

The Div-Curl Lemma Revisited

Dan Polisevski
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Abstract

The 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.

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Dan Polisevski. 2007-12-13. The Div-Curl Lemma Revisited. https://arxiv.org/abs/0712.2133

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