276 citations · 4.5k across the 293 of their papers we have counts for
14 papers · 1 filter
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…
Recent progress on the restriction conjecture
Terence Tao
The purpose of these notes is describe the state of progress on the restriction problem in harmonic analysis, with an emphasis on the developments of the past decade or so on the E…
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 multilinear oscillatory integrals, nonsingular and singular
Michael Christ, Xiaochun Li, Terence Tao +1
Basic questions concerning nonsingular multilinear operators with oscillatory factors are posed and partially answered. Lebesgue space norm inequalities are established for multili…
Bi-parameter paraproducts
Camil Muscalu, Jill Pipher, Terence Tao +1
In the first part of the paper we prove a bi-parameter version of a well known multilinear theorem of Coifman and Meyer. As a consequence, we generalize the Kato-Ponce inequality i…