276 citations · 4.5k across the 293 of their papers we have counts for
7 papers · 2 filters
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…
Global regularity of wave maps V. Large data local wellposedness and perturbation theory in the energy class
Terence Tao
Using the harmonic map heat flow and the function spaces of Tataru and the author, we establish a large data local well-posedness result in the energy class for wave maps from two-…
Global existence and uniqueness results for weak solutions of the focusing mass-critical non-linear Schrödinger equation
Terence Tao
We consider the focusing mass-critical NLS in high dimensions , with initial data having finite mass $M(u_0) = \int_{\R^d} |u_0(x…
Global regularity of wave maps IV. Absence of stationary or self-similar solutions in the energy class
Terence Tao
Using the harmonic map heat flow, we construct an energy class for wave maps from two-dimensional Minkowski space to hyperbolic spaces $\H^m$, and then show (conditi…
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 = |…
Global regularity of wave maps III. Large energy from to hyperbolic spaces
Terence Tao
We show that wave maps from two-dimensional Minkowski space to hyperbolic spaces $\H^m$ are globally smooth in time if the initial data is smooth, conditionally on s…