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May 27, 2010
In these talks we will investigate the L2 critical Schr¨odinger initial value problem
iut+ ∆u=|u|4/du,
u(0, x) =u0. (0.1)
in dimensions d ≥ 3. We prove this using the concentration compactness method. We use an interaction Morawetz estimate localized to low frequen- cies.
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