119 citations · 609 across the 53 of their papers we have counts for
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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…
Classification of Almost Quarter-Pinched Manifolds
Peter Petersen, Terence Tao
We show that if a simply connected manifold is almost quarter pinched then it is diffeomorphic to a CROSS (a compact rank one symmetric space) or a sphere.
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 = |…
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…