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

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

2008-01-31

arxiv.org/abs/0801.4932v3

Mathematics

Analysis of PDEs

Scientific paper

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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