119 citations · 209 across the 10 of their papers we have counts for
21 papers · 1 filter
Symplectic nonsqueezing of the KdV flow
J. Colliander, M. Keel, G. Staffilani +2
We prove two finite dimensional approximation results and a symplectic non-squeezing property for the Korteweg-de Vries (KdV) flow on the circle T. The nonsqueezing result relies o…
blowup solutions of cubic NLS on concentrate a fixed amount of mass
J. Colliander, W. Staubach
The authors have found an error in their argument, so this paper is withdrawn.
Ground state mass concentration in the L^2-critical nonlinear Schrodinger equation below H^1
Jim Colliander, Sarah Raynor, Catherine Sulem +1
We consider finite time blowup solutions of the -critical cubic focusing nonlinear Schrödinger equation on . Such functions, when in , are known to concentrate a fi…
Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R^3
Jim Colliander, Mark Keel, Gigliola Staffilani +2
We obtain global well-posedness, scattering, and global spacetime bounds for energy-class solutions to the quintic defocusing Schrödinger equation in , whi…
Instability of the periodic nonlinear Schrodinger equation
Michael Christ, James Colliander, Terence Tao
We study the periodic non-linear Schrodinger equations with odd integer power nonlinearities, for initial data which are assumed to be small in some negative order Sobolev space, b…
Ill-posedness for nonlinear Schrodinger and wave equations
Michael Christ, James Colliander, Terence Tao
The nonlinear wave and Schrodinger equations on Euclidean space of any dimension, with general power nonlinearity and with both the focusing and defocusing signs, are proved to be…