G. Staffilani

activity

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 2003Show all

2 papers · 1 filter

math.AP2003

Stability of Solitons for the KdV equation in H^s, 0 <= s< 1

S. Raynor, G. Staffilani

We study the long-time stability of soliton solutions to the Korteweg-deVries equation. We consider solutions $u$ to the KdV with initial data in $H^{s}$ , $0 \leq s < 1$ , that are in…

math.AP2003

Global existence and scattering for rough solutions of a nonlinear Schroedinger equation on R^3

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

We prove global existence and scattering for the defocusing, cubic nonlinear Schrödinger equation in $H^s(\rr^3)$ for $s > 4/5$ . The main new estimate in the argument is a Morawe…