## On asymptotic stability in energy space of ground states of NLS in 1D.(English)Zbl 1185.35251

The author proves smoothing estimates for dispersive solutions of the linearization at a ground state of a NLS in 1D. A result on asymptotic stability of ground states of NLS in 1D is also obtained.

### MSC:

 35Q55 NLS equations (nonlinear Schrödinger equations) 35B35 Stability in context of PDEs 35B40 Asymptotic behavior of solutions to PDEs
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### References:

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