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MR2399431 35Q55 (35F25 49M27)
Colliander, J.; Keel, M.; Staffilani, G.; Takaoka, H.; Tao, T. Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\Bbb R^2$. Discrete Contin. Dyn. Syst. 21 (2008), no. 3, 665–686.
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