T. Tao

activity

19972023

most citedRandom matrices: Universality of local eigenvalue statistics up to the edge

276 citations · 4.5k across the 293 of their papers we have counts for

collaborators

Showing 1998 · math.APShow all

3 papers · 2 filters

math.AP1998★ 2 cited

Ill-posedness for one-dimensional wave maps at the critical regularity

Terence Tao

We show that the wave map equation in $R^{1 + 1}$ is in general ill-posed in the critical space $H ˙^{1/2}$ , and the Besov space $B ˙_{2}^{1/2, 1}$ . The problem is attributed to…

math.AP1998★ 30 cited

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 $L^{2}$ in the angular variable, we s…

math.AP1998★ 41 cited

Local and global well-posedness of wave maps on $R^{1 + 1}$ 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…

Ill-posedness for one-dimensional wave maps at the critical regularity

Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation

Local and global well-posedness of wave maps on R1+1 for rough data

Local and global well-posedness of wave maps on $R^{1 + 1}$ for rough data