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arxiv: 0801.4932 · v3 · submitted 2008-01-31 · 🧮 math.AP

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

classification 🧮 math.AP
keywords energyinvariantsolutionsspacesupercriticalconsiderconvergeexistence
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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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