276 citations · 4.5k across the 293 of their papers we have counts for
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A Strichartz inequality for the Schroedinger equation on non-trapping asymptotically conic manifolds
Andrew Hassell, Terence Tao, Jared Wunsch
We obtain an space-time Strichartz inequality for any smooth three-dimensional Riemannian manifold which is asymptotically conic at infinity and non-trapping, where $…
Instability of the periodic nonlinear Schrodinger equation
Michael Christ, James Colliander, Terence Tao
We study the periodic non-linear Schrodinger equations with odd integer power nonlinearities, for initial data which are assumed to be small in some negative order Sobolev space, b…
Ill-posedness for nonlinear Schrodinger and wave equations
Michael Christ, James Colliander, Terence Tao
The nonlinear wave and Schrodinger equations on Euclidean space of any dimension, with general power nonlinearity and with both the focusing and defocusing signs, are proved to be…
On the asymptotic behavior of large radial data for a focusing non-linear Schrödinger equation
Terence Tao
We study the asymptotic behavior of large data radial solutions to the focusing Schrödinger equation in , assuming globally bounded norm (…
Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions
Igor Rodnianski, Terence Tao
We show that in dimensions that one has global regularity for the Maxwell-Klein-Gordon equations in the Coulomb gauge provided that the critical Sobolev norm $\dot H^{n/…
Global well-posedness of the Benjamin-Ono equation in H^1(R)
Terence Tao
We show that the Benjamin-Ono equation is globally well-posed in for . This is despite the presence of the derivative in the non-linearity, which causes the sol…