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Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm

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

Sharp global well-posedness for KdV and modified KdV on $\Bbb{R}$ and $\Bbb{T}$

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

A refined global well-posedness result for Schrödinger equations with derivative

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

Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation

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

Regularity bounds on Zakharov system evolutions

James Colliander, Gigliola Staffilani

The generalized Korteweg-de Vries equation on the half line

J. E. Colliander, C. E. Kenig

Bilinear estimates and applications to 2D NLS

J. E. Colliander, J.-M. Delort, C. E. Kenig, G. Staffilani

Global well-posedness for KdV in Sobolev spaces of negative index

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

Global well-posedness for Schrödinger equations with derivative

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

Ginzburg-Landau vortices: weak stability and Schrödinger equation dynamics

J. E. Colliander, R. L. Jerrard