A parabolic variant of H-measures (CROSBI ID 147149)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Antonić, Nenad ; Lazar, Martin
engleski
A parabolic variant of H-measures
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.
Variant H-measure; Oscillation; Parabolic equation; Schrödinger’ s equation; Vibrating plate equation
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Podaci o izdanju
54 (2)
2008.
183-201
objavljeno
0430-3202
1827-1510
10.1007/s11565-008-0057-x