N. Tzirakis

most citedImproved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on

R^{2}

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math.AP2008★ 4 cited

Tensor products and Correlation Estimates with applications to Nonlinear Schrödinger equations

Jim Colliander, Manoussos Grillakis, Nikolaos Tzirakis

We prove new interaction Morawetz type (correlation) estimates in one and two dimensions. In dimension two the estimate corresponds to the nonlinear diagonal analogue of Bourgain's…

math.AP2007★ 18 cited

Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on $R^{2}$

J. Colliander, M. Grillakis, N. Tzirakis

We prove global well-posedness for low regularity data for the $L^{2} - cr i t i c a l$ defocusing nonlinear Schrödinger equation (NLS) in 2d. More precisely we show that a global solution e…

Tensor products and Correlation Estimates with applications to Nonlinear Schrödinger equations

Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on R2

Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on $R^{2}$