M. Grillakis

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

R^{2}

18 citations · 25 across the 3 of their papers we have counts for

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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.AP2008★ 3 cited

Apriori Estimates for Many-Body Hamiltonian Evolution of Interacting Boson System

Manoussos G. Grillakis, Dionisios Margetis

We study the evolution of a many-particle system whose wave function obeys the N-body Schroedinger equation under Bose symmetry. The system Hamiltonian describes pairwise particle…

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

Apriori Estimates for Many-Body Hamiltonian Evolution of Interacting Boson System

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

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