Scattering for 𝐻̇^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions
- 18 November 2009
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 362 (4), 1937-1962
- https://doi.org/10.1090/s0002-9947-09-04722-9
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.Keywords
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