119 citations · 209 across the 10 of their papers we have counts for
Showing 2003 · math.APShow all
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math.AP2003★ 35 cited
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…
math.AP2003★ 119 cited
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…
math.AP2003
Global existence and scattering for rough solutions of a nonlinear Schroedinger equation on R^3
J. Colliander, M. Keel, G. Staffilani +2
We prove global existence and scattering for the defocusing, cubic nonlinear Schrödinger equation in $H^s(\rr^3)$ for . The main new estimate in the argument is a Morawe…