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

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.

References in corpus (2)

• Asymptotic stability of small solitons to 1D NLS with potential
• On instability of excited states of the nonlinear Schrödinger equation