Naslov
Some-generalisations of H-measures

Autori
Ivec, Ivan ; Antonić, Nenad

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
PDEMTA2012, Book of Abstracts / - , 2012, 22-22

Skup
International Conference Topics in PDE, Microlocal and Time-frequency Analysis

Mjesto i datum
Novi Sad, Srbija, 03.09.2012. - 08.09.2012

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
H-measures ; generalisations ; first commutation lemma

Sažetak
H-measures were defined independently by Luc Tartar and Patrick Gerard, as objects measuring the lack of strong convergence in weakly converging sequences in L^2(R^d ; R^r). They are Radon measures defined on R^d x S^(d-1), their existence relying on the First commutation lemma (as it was baptised by Tartar). They have already found a number of applications to hyperbolic and elliptic partial differential equations. Recently, Nenad Antonić and Marin Lazar introduced parabolic H-measures for application to parabolic problems, showing their feasibility to the main types of applications, as they were known for the classical H-measures. Our goal is to provide a systematic approach to this and other possible extensions, with an ultimate goal of tailoring the variants appropriate for applications in various classes of partial differential equations. We also provide some general variants of the first commutation lemma.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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