On asymptotic stability in energy space of ground states of NLS in 2D

Details On asymptotic stability in energy space of ground states of NLS in 2D On asymptotic stability in energy space of ground states of NLS in 2D

2008-01-08

arxiv.org/abs/0801.1277v1

Mathematics

Analysis of PDEs

Scientific paper

We transpose work by K.Yajima and by T.Mizumachi to prove dispersive and
smoothing estimates for dispersive solutions of the linearization at a ground
state of a Nonlinear Schr\"odinger equation (NLS) in 2D. As an application we
extend to dimension 2D a result on asymptotic stability of ground states of NLS
proved in the literature for all dimensions different from 2.

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