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arXiv · 0801.4932

An invariant set in energy space for supercritical NLS in 1D

Scipio Cuccagna
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Abstract

We consider radial solutions of a mass supercritical monic NLS and we prove the existence of a set, which looks like a hypersurface, in the space of finite energy functions, invariant for the flow and formed by solutions which converge to ground states.

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Scipio Cuccagna. 2008-09-21. An invariant set in energy space for supercritical NLS in 1D. https://arxiv.org/abs/0801.4932

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