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arxiv: math/0501126 · v1 · submitted 2005-01-09 · 🧮 math.AP · math-ph· math.MP

Stable manifolds for all monic supercritical NLS in one dimension

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keywords dimensionmonicspacesupercriticalasymptoticchosenexhibitfocusing
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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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