A revision of "On asymptotic stability in energy space of ground states of NLS in 1D"

Details A revision of "On asymptotic stability in energy space of ground states of NLS in 1D" A revision of "On asymptotic stability in energy space of ground states of NLS in 1D"

2007-11-27

arxiv.org/abs/0711.4192v3

Mathematics

Analysis of PDEs

This is a revision of the author's paper "On asymptotic stability in energy space of ground states of NLS in 1D" which appeare

Scientific paper

We transpose work by T.Mizumachi to prove smoothing estimates for dispersive
solutions of the linearization at a ground state of a Nonlinear Schr\"odinger
equation (NLS) in 1D. As an application we extend to dimension 1D a result on
asymptotic stability of ground states of NLS proved by Cuccagna & Mizumachi for
dimensions $\ge 3$

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