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20012008
most citedGlobal well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in R^3

51 citations · 83 across the 11 of their papers we have counts for

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Showing 2004Show all

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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★ 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…