Naslov
Parabolic H-measures

Autori
Antonić, Nenad ; Lazar, Martin

Izvornik
Journal of functional analysis (0022-1236) 265 (2013), 7; 1190-1239

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
parabolic H-measures; localisation principle; propagation principle

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA