On the asymptotic stability of bound states in 2D cubic Schroedinger equation

We consider the cubic nonlinear Schr\"{o}dinger equation in two space dimensions with an attractive potential. We study the asymptotic stability of the nonlinear bound states, i.e. periodic in time localized in space solutions. Our result shows that all solutions with small, localized in space...

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Autori principali: Kirr, E, Zarnescu, A
Natura: Journal article
Lingua:English
Pubblicazione: 2006