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Zbl 0707.35032
Gérard, P.
Compacité par compensation et régularité 2-microlocale. (Compensated compactness and 2-microlocal regularity).
(French)
[J] Sémin. Équations Dériv. Partielles 1988-1989, Exp. No.6, 18 p. (1989).

The author defines the wave front of noncompactness of the sequence from $L\sp 2$ and the measure of microlocal noncompactness of such sequence. These notions enable to prove results obtained using the concentration- compactness principle of P. L. Lions and the compensated compactness principle of L. Tartar.
[B.Nowak]
MSC 2000:
*35D10 Regularity of generalized solutions of PDE
35A15 Variational methods (PDE)
35A05 General existence and uniqueness theorems (PDE)

Keywords: wave front of noncompactness; microlocal noncompactness; concentration- compactness; compensated compactness

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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