On variants of H-measures and compensated compactness

2014/03/25 by Evgeny Yu. Panov, Panov, Evgeny Yu.
Mathematics · #42B15 #42B37 #46G10 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1403.6345

openalex publication_date 2014/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce 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.

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