ON VARIANTS OF H-MEASURES AND COMPENSATED COMPACTNESS

摘要

We present a new variant of H-measures defined on spectra of general algebra of test symbols and derive the localization properties of such H-measures. Applications for the compensated compactness theory are given. In particular, we present new compensated compactness results for quadratic functionals in the case of general pseudo-differential constraints. The case of inhomogeneous second order differential constraints is also studied. Bibliography: 9 titles.