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arXiv · 0712.1834

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

Carlos E. Kenig·Frank Merle
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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.

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Carlos E. Kenig, Frank Merle. 2007-12-11. Scattering for H^1/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions. https://arxiv.org/abs/0712.1834

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