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Scattering for Ḣ^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions
Carlos Kenig, Frank Merle
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Source: Crossref
Published: Nov 18, 2009
DOI: 10.1090/s0002-9947-09-04722-9
Open original source ↗Source 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 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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