Scattering for H^1/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions

Details Scattering for H^1/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions Scattering for H^1/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions

2007-12-11

arxiv.org/abs/0712.1834v1

Mathematics

Analysis of PDEs

To appear, Tran.Amer.Math.Soc

Scientific paper

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.

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