You can manage bookmarks using lists, please log in to your user account for this.
Media type:
E-Article
Title:
On Weak Continuity and the Hodge Decomposition
Contributor:
Robbin, Joel W.;
Rogers, Robert C.;
Temple, Blake
imprint:
American Mathematical Society, 1987
Published in:Transactions of the American Mathematical Society
Language:
English
ISSN:
0002-9947
Origination:
Footnote:
Description:
<p>We address the problem of determining the weakly continuous polynomials for sequences of functions that satisfy general linear first-order differential constraints. We prove that wedge products are weakly continuous when the differential constraints are given by exterior derivatives. This is sufficient for reproducing the Div-Curl Lemma of Murat and Tartar, the null Lagrangians in the calculus of variations and the weakly continuous polynomials for Maxwell's equations. This result was derived independently by Tartar who stated it in a recent survey article [7]. Our proof is explicit and uses the Hodge decomposition.</p>