An invariant set in energy space for supercritical NLS in 1D
Analysis of PDEs
2008-09-21 v3
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.
Keywords
Cite
@article{arxiv.0801.4932,
title = {An invariant set in energy space for supercritical NLS in 1D},
author = {Scipio Cuccagna},
journal= {arXiv preprint arXiv:0801.4932},
year = {2008}
}