J. Colliander

activity

19972013

most citedGlobal well-posedness for Schrödinger equations with derivative

191 citations · 878 across the 41 of their papers we have counts for

collaborators

Showing 2007 · math.APShow all

4 papers · 2 filters

math.AP2007

Weighted Low-Regularity Solutions of the KP-I Initial Value Problem

J. Colliander, A. D. Ionescu, C. E. Kenig +1

In this paper we establish local well-posedness of the KP-I problem, with initial data small in the intersection of the natural energy space with the space of functions which are s…

math.AP2007

Cubic Derivative Nonlinear Schrodinger has Blowup Solutions

J. Colliander

This paper is painfully withdrawn.

math.AP2007★ 9 cited

Resonant decompositions and the I-method for cubic nonlinear Schrodinger on R^2

J. Colliander, M. Keel, G. Staffilani +2

The initial value problem for the cubic defocusing nonlinear Schrödinger equation $i \partial_{t} u + Δ u = ∣ u ∣^{2} u$ on the plane is shown to be globally well-posed for initial data i…

math.AP2007★ 18 cited

Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on $R^{2}$

J. Colliander, M. Grillakis, N. Tzirakis

We prove global well-posedness for low regularity data for the $L^{2} - cr i t i c a l$ defocusing nonlinear Schrödinger equation (NLS) in 2d. More precisely we show that a global solution e…

Weighted Low-Regularity Solutions of the KP-I Initial Value Problem

Cubic Derivative Nonlinear Schrodinger has Blowup Solutions

Resonant decompositions and the I-method for cubic nonlinear Schrodinger on R^2

Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on R2

Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on $R^{2}$