Resonant decompositions and the I-method for cubic nonlinear Schrodinger on R^2

J. Colliander, M. Keel, G. Staffilani +2

The initial value problem for the cubic defocusing nonlinear Schrödinger equation $i{\partial }_{t}u+\Delta u=|u{|}^{2}u$ on the plane is shown to be globally well-posed for initial data i…