276 citations · 4.5k across the 293 of their papers we have counts for
4 papers · 2 filters
Multilinear estimates for periodic KdV equations and applications
Jim Colliander, Markus Keel, Gigliola Staffilani +2
We prove an endpoint multilinear estimate for the spaces associated to the periodic Airy equation. As a consequence we obtain sharp local well-posedness results for perio…
A refined global well-posedness result for Schrodinger equations with derivative
J. Colliander, M. Keel, G. Staffilani +2
In this paper we prove that the 1D Schrödinger equation with derivative in the nonlinear term is globally well-posed in , for for data small in . To under…
A physical space approach to wave equation bilinear estimates
Sergiu Klainerman, Igor Rodnianski, Terence Tao
Bilinear estimates for the wave equation in Minkowski space are normally proven using the Fourier transform and Plancherel's theorem. However, such methods are difficult to carry o…
Global well-posedness for Schrödinger equations with derivative
J. Colliander, M. Keel, G. Staffilani +2
We prove that the 1D Schrödinger equation with derivative in the nonlinear term is globally well-posed in , for for small data. The result follows from an ap…