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

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

2008-09-27

arxiv.org/abs/0809.4775v2

Mathematics

Analysis of PDEs

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

Scientific paper

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.

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