J. Colliander

activity

20012004

most citedIll-posedness for nonlinear Schrodinger and wave equations

119 citations · 209 across the 10 of their papers we have counts for

collaborators

Showing 2004Show all

4 papers · 1 filter

math.AP2004★ 2 cited

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…

math.AP2004★ 1 cited

$L^{2}$ blowup solutions of cubic NLS on $R^{2}$ concentrate a fixed amount of mass

J. Colliander, W. Staubach

The authors have found an error in their argument, so this paper is withdrawn.

math.AP2004

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 $L^{2}$ -critical cubic focusing nonlinear Schrödinger equation on $R^{2}$ . Such functions, when in $H^{1}$ , are known to concentrate a fi…

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 $L_{t, x}^{10}$ spacetime bounds for energy-class solutions to the quintic defocusing Schrödinger equation in $R^{1 + 3}$ , whi…

Symplectic nonsqueezing of the KdV flow

L2 blowup solutions of cubic NLS on R2 concentrate a fixed amount of mass

Ground state mass concentration in the L^2-critical nonlinear Schrodinger equation below H^1

Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R^3

$L^{2}$ blowup solutions of cubic NLS on $R^{2}$ concentrate a fixed amount of mass