One-scale variants of H-measures (CROSBI ID 631653)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa
Podaci o odgovornosti
Antonić, Nenad ; Erceg, Marko ; Lazar, Martin
engleski
One-scale variants of 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 L^p sequences. In contrast to the semiclassical measures, H-measures are not suitable to treat problems with a characteristic length (e.g. thickness of a plate). Luc Tartar overcame the mentioned restriction by introducing 1-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 continuous functions on a compactification of R^d-{; ; ; 0}; ; ; . We improve and generalise Tartar's localisation principle for 1-scale H-measures from which we are able to derive known localisation principles for H-measures and semiclassical measures. The localisation principle for H-measures has already been successfully applied in many fields (compactness by compensation, small amplitude homogenisation, velocity averaging, averaged control etc.), and the new results expected to have an even wider class of possible applications.
H-measure ; one-scale variant ; semiclassical measure ; localisation principle
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Podaci o prilogu
4-4.
2014.
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objavljeno
Podaci o matičnoj publikaciji
Days of Analysis in Novi Sad
Pilipović, Stevan ; Teofanov, Nenad ; Kapustin, Vladimir
Novi Sad: Department of Mathematics and Informatics, University of Novi Sad
Podaci o skupu
Days of Analysis in Novi Sad, DANS14
ostalo
03.07.2014-07.07.2014
Novi Sad, Srbija