Ultraparabolic H-measures and compensated compactness

E. Yu. Panov (1, 2)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 Novgorod State University

We present a generalization of compensated compactness theory to the case of variable and generally discontinuous coefficients, both in the quadratic form and in the linear, up to the second order, constraints. The main tool is the localization properties for ultra-parabolic H-measures corresponding to weakly convergent sequences.

Domaines: Equations aux dérivées partielles [math.AP]; Analyse fonctionnelle [math.FA]

E. Yu. Panov. Ultraparabolic H-measures and compensated compactness. 2010. ⟨hal-00449900⟩