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Localisation principle for one-scale H-measures (CROSBI ID 235615)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Antonić, Nenad ; Erceg, Marko ; Lazar, Martin Localisation principle for one-scale H-measures // Journal of functional analysis, 272 (2017), 8; 3410-3454. doi: 10.1016/j.jfa.2017.01.006

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

Povezanost rada

Matematika

Poveznice
Indeksiranost