Localisation principle for one-scale H-measures (CROSBI ID 235615)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Antonić, Nenad ; Erceg, Marko ; Lazar, Martin
engleski
Localisation principle for one-scale H-measures
Microlocal defect functionals (H-measures, H-distributions, semiclassical measures etc.) are objects which determine, in some sense, the lack of strong compactness for weakly convergent LpLp sequences. Recently, Luc Tartar introduced one-scale H-measures, a generalisation of H-measures with a characteristic length, which also comprehend the notion of semiclassical measures. We present a self-contained introduction to one-scale H-measures, carrying out some alternative proofs, and strengthening some results, comparing these objects to known microlocal defect functionals. Furthermore, we develop the localisation principle for these objects in a rather general form, from which we are able to derive the known localisation principles for both H-measures and semiclassical measures. Moreover, it enables us to obtain a variant of compactness by compensation suitable for equations with a characteristic length.
Semiclassical measure ; One-scale H-measure ; Localisation principle ; Compactness by compensation
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Podaci o izdanju
272 (8)
2017.
3410-3454
objavljeno
0022-1236
1096-0783
10.1016/j.jfa.2017.01.006