119 citations · 609 across the 53 of their papers we have counts for
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math.AP2008★ 15 cited
Weakly turbulent solutions for the cubic defocusing nonlinear Schrödinger equation
J. Colliander, M. Keel, G. Staffilani +2
We consider the cubic defocusing nonlinear Schrödinger equation on the two dimensional torus. We exhibit smooth solutions for which the support of the conserved energy moves to hig…
math.AP2008★ 8 cited
A global compact attractor for high-dimensional defocusing non-linear Schrödinger equations with potential
Terence Tao
We study the asymptotic behavior of large data solutions in the energy space in very high dimension to defocusing Schrödinger equations $i u_t + Δu = |…
math.AP2008
Why are solitons stable?
Terence Tao
The theory of linear dispersive equations predicts that waves should spread out and disperse over time. However, it is a remarkable phenomenon, observed both in theory and practice…