On Variants of H-Measures and Compensated Compactness

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 functio...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2015-02, Vol.205 (2), p.267-296
1. Verfasser: Panov, E. Yu
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-015-2247-2