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arXiv · 0809.4775

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

Scipio Cuccagna·Nicola Visciglia
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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.

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Scipio Cuccagna, Nicola Visciglia. 2009-03-25. On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D. https://arxiv.org/abs/0809.4775

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