Scattering for H^1/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions
Analysis of PDEs
2007-12-13 v1 Algebraic Geometry
Abstract
We show that if a solution of the defocusing cubic NLS in 3d remains bounded in the homogeneous Sobolev norm of order 1/2 in its maximal interval of existence, then the interval is infinite and the solution scatters. No radial assumption is made.
Keywords
Cite
@article{arxiv.0712.1834,
title = {Scattering for H^1/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions},
author = {Carlos E. Kenig and Frank Merle},
journal= {arXiv preprint arXiv:0712.1834},
year = {2007}
}
Comments
To appear, Tran.Amer.Math.Soc