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.
An invariant set in energy space for supercritical NLS in 1D / Cuccagna, Scipio. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 352:(2009), pp. 634-644.
An invariant set in energy space for supercritical NLS in 1D
CUCCAGNA, SCIPIO
2009-01-01
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.File in questo prodotto:
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