Naslov
One-scale H-distributions

Autori
Antonić, Nenad ; Erceg, Marko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Workshop on Optimal Transport in the Applied Sceinces

Mjesto i datum
Linz, Austrija, 08.12.2014. - 12.12.2014

Vrsta sudjelovanja
Poster

Vrsta recenzije
Nije recenziran

Ključne riječi
H-measures ; H-distributions ; localisation principle

Sažetak
Microlocal defect functionals (H-measures, H-distributions, semiclassical measures etc.) are objects which describe the lack of strong compactness for weakly convergent L^p sequences. In contrast to the semiclassical measures, H-measures are not suitable for problems with a characteristic length (e.g.~thickness of a plate). Luc Tartar overcame the mentioned restriction by introducing one-scale H-measures, a generalisation of H-measures with a characteristic length. Moreover, these objects are also an extension of semiclassical measures, being functionals on the space of continuous functions on a compactification of R^d\{; ; 0}; ; . Recently, the localisation principle for one-scale H-measures was improved giving the possibility to obtain compensated compactness for problems with characteristic length [N. Antonić, M. E., M. Lazar, 2014]. Our goal is to extend this construction to L^p framework and introduce an extension of one-scale H-measures, the one-scale H-distributions, following the approach in [N. Antonić, D. Mitrović, 2011] and obtain corresponding localisation principle.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA