ON ASYMPTOTIC STABILITY OF GROUND STATES OF NLS WITH A FINITE BANDS PERIODIC POTENTIAL IN 1D Scipio Cuccagna and Nicola Visciglia
نویسنده
چکیده
We consider a nonlinear Schrödinger equation iut − h0u+ β(|u| )u = 0 , (t, x) ∈ R × R with h0 = − d dx2 + P (x) a Schrödinger operator with finitely many spectral bands. We assume the existence of an orbitally stable family of ground states. Exploiting dispersive estimates in [C2,CV] and following the argument in [C1] we prove that under appropriate hypotheses the ground states are asymptotically stable.This paper is a slightly extended version of the paper to be published on the Trans. AMS. §
منابع مشابه
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