276 citations · 4.5k across the 293 of their papers we have counts for
5 papers · 2 filters
Long-time decay estimates for the Schrödinger equation on manifolds
Igor Rodnianski, Terence Tao
In this paper we develop a quantitative version of Enss' method to establish global-in-time decay estimates for solutions to Schrödinger equations on manifolds. To simplify the exp…
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…
Geometric renormalization of large energy wave maps
Terence Tao
There has been much progress in recent years in understanding the existence problem for wave maps with small critical Sobolev norm (in particular for two-dimensional wave maps with…
Sharp Strichartz estimates on non-trapping asymptotically conic manifolds
Andrew Hassell, Terence Tao, Jared Wunsch
We obtain the Strichartz inequalities for any smooth -dimensional Riemannian manifold which is asymptot…
Global well-posedness and scattering for the higher-dimensional energy-critical non-linear Schrodinger equation for radial data
Terence Tao
In any dimension , we show that spherically symmetric bounded energy solutions of the defocusing energy-critical non-linear Schrödinger equation $i u_t + Δu = |u|^{\frac{…