Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\mathbb{R}^2$
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Department of Mathematics, University of Toronto, Toronto, Ontario M5R 1P2
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Department of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church St. S.E., Minneapolis, MN 55455
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Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139-4307
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Department of Mathematics, Kobe University, Nada, Kobe, Hyogo
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UCLA Mathematics Department, Box 951555, Los Angeles, CA 90095-1555