On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D

Abstract

We consider a nonlinear Schroedinger equation with a finite bands periodic potential in R . We assume the existence of an orbitally stable family of ground states. We prove that under appropriate hypotheses the ground states are asymptotically stable.

arXiv commentThe present version of the paper, has more details than the one to be published on the Tansactions AMS

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