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arXiv:0712.1834 [math.AP]AbstractReferencesReviewsResources

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

Carlos E. Kenig, Frank Merle

Published 2007-12-11Version 1

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.

Comments: To appear, Tran.Amer.Math.Soc
Categories: math.AP, math.AG
Subjects: 35Q55
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