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Parabolic H-measures (CROSBI ID 193694)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Antonić, Nenad ; Lazar, Martin Parabolic H-measures // Journal of functional analysis, 265 (2013), 7; 1190-1239. doi: 10.1016/j.jfa.2013.06.006

Podaci o odgovornosti

Antonić, Nenad ; Lazar, Martin

engleski

Parabolic H-measures

Classical H-measures introduced by Tartar (1990) and independently by Gerard (1991) are e 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 Schrodinger type o equation. Some applications to specific equations are presented, illustrating the possible use of this new tool. A comparison to similar results for classical H-measures has been made as well.

parabolic H-measures; localisation principle; propagation principle

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Podaci o izdanju

265 (7)

2013.

1190-1239

objavljeno

0022-1236

10.1016/j.jfa.2013.06.006

Povezanost rada

Matematika

Poveznice
Indeksiranost