English

On variants of $H$-measures and compensated compactness

Analysis of PDEs 2014-03-26 v1

Abstract

We introduce new variant of HH-measures defined on spectra of general algebra of test symbols and derive the localization properties of such HH-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.

Keywords

Cite

@article{arxiv.1403.6345,
  title  = {On variants of $H$-measures and compensated compactness},
  author = {Evgeny Yu. Panov},
  journal= {arXiv preprint arXiv:1403.6345},
  year   = {2014}
}