Skip to Main Content
285
Views
230
CrossRef citations to date
Altmetric

Original Articles

Microlocal defect measures

Pages 1761-1794
Published online: 08 May 2007
 
Translator disclaimer

In order to study weak continuity of quadratic forms on spaces of L2 solutions of systems of partial differential equations, we define defect measures on the space of positions and frequencies.A systematic use of these measures leads in particular to a compensated compactness theorem, generalizing MURAT"TARTAR's compensated compactness to variable coefficients and GOLSE"LIONS"PERTHAME"SENTIS's averaging lemma. We also obtain results on homogenization for differential operators of order I with oscillating coefficients.

People also read