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One-scale variants of H-measures (CROSBI ID 631653)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa

Antonić, Nenad ; Erceg, Marko ; Lazar, Martin One-scale variants of H-measures // Days of Analysis in Novi Sad / Pilipović, Stevan ; Teofanov, Nenad ; Kapustin, Vladimir (ur.). Novi Sad: Department of Mathematics and Informatics, University of Novi Sad, 2014. str. 4-4

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

Povezanost rada

Matematika

Poveznice