Stable manifolds for all monic supercritical NLS in one dimension

Details Stable manifolds for all monic supercritical NLS in one dimension Stable manifolds for all monic supercritical NLS in one dimension

2005-01-09

arxiv.org/abs/math/0501126v1

Mathematics

Analysis of PDEs

81 pages

Scientific paper

We show that all supercritical monic focusing NLS in one space dimension
exhibit asymptotic stability of perturbed standing waves provided the
perturbations are chosen on a small hypersuface in a suitable space.

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