E-viri
Recenzirano
-
Byeon, Jaeyoung; Rabinowitz, Paul H.
Calculus of variations and partial differential equations, 05/2013, Letnik: 47, Številka: 1-2Journal Article
An Allen–Cahn phase transition model with a periodic nonautonomous term is presented for which an infinite number of transition states is shown to exist. A constrained minimization argument and the analysis of a limit problem are employed to get states having a finite number of transitions. A priori bounds and an approximation procedure give the general case. Decay properties are also studied and a sharp transition result with an arbitrary interface is proved.
