100 citations · 238 across the 3 of their papers we have counts for
3 papers
math.AP2004★ 51 cited
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…
math.AP2001★ 100 cited
Sharp Global well-posedness for KdV and modified KdV on and $\T$
J. Colliander, M. Keel, G. Staffilani +2
The initial value problems for the Korteweg-de Vries (KdV) and modified KdV (mKdV) equations under periodic and decaying boundary conditions are considered. These initial value pro…
math.AP2001★ 87 cited
Global well-posedness for KdV in Sobolev Spaces of negative index
J. Colliander, M. Keel, G. Staffilani +2
The initial value problem for the Korteweg-deVries equation on the line is shown to be globally well-posed for rough data. In particular, we show global well-posedness for initial…