Naslov
A parabolic variant of H-measures

Autori
Antonić, Nenad ; Lazar, Martin

Izvornik
Annali dell'Università di Ferrara. Sezione 7: Scienze matematiche (0430-3202) 54 (2008), 2; 183-201

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

Ključne riječi
Variant H-measure; Oscillation; Parabolic equation; Schrödinger’ s equation; Vibrating plate equation

Sažetak
H-measures, as originally introduced by Luc Tartar and Patrick Gérard, are suited to hyperbolic problems. However, they turned out not to be well adjusted to the study of parabolic equations. A variant of H-measures is proposed, which is much better adapted to such kind of problems. We present the new parabolic scaling and the main ingredients for the proof of existence of the new variant. Some applications to the Schrödinger equation and vibrating plate equation are shown, together with an outlook to possible applications in other problems.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA