Stable manifolds for all monic supercritical NLS in one dimension
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0501126,
title = {Stable manifolds for all monic supercritical NLS in one dimension},
author = {Joachim Krieger and Wilhelm Schlag},
journal= {arXiv preprint arXiv:math/0501126},
year = {2007}
}
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81 pages