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Tensor products and correlation estimates with applications to nonlinear Schrödinger equations

J. Colliander, M. Grillakis, N. Tzirakis

A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order

Michael Christ, James Colliander, Terence Tao

Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $\Bbb{R}$

James Colliander, Justin Holmer, Monica Visan, Xiaoyi Zhang

Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in $\Bbb{R}^3$

J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao

Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schrödinger systems

James Colliander, Justin Holmer, Nikolaos Tzirakis

Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\Bbb{R}^2$

J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao

Weighted low-regularity solutions of the KP-I initial-value problem

J. Colliander, A. D. Ionescu, C. E. Kenig, G. Staffilani

Errata to: ``Low regularity solutions for the Kadomtsev-Petviashvili I equation'' [Geom. Funct. Anal. bf 13 (2003), no. 4, 737--794; MR2006556]

James Colliander, Carlos E. Kenig, Gigliola Staffilani

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

James Colliander, Manoussos Grillakis, Nikolaos Tzirakis

Mass concentration window size and Strichartz norm divergence rate for the $L^2$-critical nonlinear Schrödinger equation

James Colliander, Svetlana Roudenko