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Parabolic H-measures (CROSBI ID 631652)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa

Antonić, Nenad ; Lazar, Martin Parabolic H-measures // Topics in PDE, Microlocal and Time-frequency Analysis / Stanković, Bogoljub ; Atanacković, Teodor M. ; Pilipović, Stevan et al. (ur.). Novi Sad: Department of Mathematics and Informatics, University of Novi Sad, 2012. str. 17-17

Podaci o odgovornosti

Antonić, Nenad ; Lazar, Martin

engleski

Parabolic H-measures

Classical H-measures introduced by Tartar (1990) and independently by Gérard (1991) are not well suited for the study of parabolic equations. Recently, several parabolic variants have been proposed, together with a number of applications. We introduce a new parabolic variant (and call it the parabolic H-measure), which is suitable for these known applications. Moreover, for this variant we prove the localisation and propagation principle, establishing a basis for more demanding applications of parabolic H-measures, similarly as it was the case with classical H-measures.In particular, the propagation principle enables us to write down a transport equation satisfied by the parabolic H-measure associated to a sequence of solutions of a Schrödinger type equation. Some applications to specific equations will be presented, illustrating the possible use of this new tool. A comparison to similar results for classical H-measures will be made as well.

parabolic H-measures ; localisation principle ; propagation principle

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Podaci o prilogu

17-17.

2012.

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objavljeno

Podaci o matičnoj publikaciji

Topics in PDE, Microlocal and Time-frequency Analysis

Stanković, Bogoljub ; Atanacković, Teodor M. ; Pilipović, Stevan ; Kurilić, Miloš

Novi Sad: Department of Mathematics and Informatics, University of Novi Sad

Podaci o skupu

International conference on Topics in PDE, Microlocal and Time-frequency Analysis

ostalo

03.09.2012-08.09.2012

Novi Sad, Srbija

Povezanost rada

Matematika