276 citations · 4.5k across the 293 of their papers we have counts for
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Ill-posedness for one-dimensional wave maps at the critical regularity
Terence Tao
We show that the wave map equation in is in general ill-posed in the critical space , and the Besov space . The problem is attributed to…
Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation
Terence Tao
The endpoint Strichartz estimates for the Schrödinger equation are known to be false in two dimensions. However, if one averages the solution in in the angular variable, we s…
A bilinear approach to the restriction and Kakeya conjectures
Terence Tao, Ana Vargas, Luis Vega
Bilinear restriction estimates have been appeared in work of Bourgain, Klainerman, and Machedon. In this paper we develop the theory of these estimates (together with the analogues…
Local and global well-posedness of wave maps on for rough data
Marcus Keel, Terence Tao
We prove local and global existence from large, rough initial data for a wave map between 1+1 dimensional Minkowski space and an analytic manifold. Included here is global existenc…
The honeycomb model of GL(n) tensor products I: proof of the saturation conjecture
Allen Knutson, Terence Tao
We introduce the honeycomb model of BZ polytopes, which calculate Littlewood-Richardson coefficients, the tensor product rule for GL(n). Our main result is the existence of a parti…