T. Tao

activity

19982005

most citedIll-posedness for nonlinear Schrodinger and wave equations

119 citations · 463 across the 37 of their papers we have counts for

collaborators

Showing 2000 · math.APShow all

2 papers · 2 filters

math.AP2000

Global regularity of wave maps I. Small critical Sobolev norm in high dimension

Terence Tao

We show that wave maps from Minkowski space $R^{1 + n}$ to a sphere are globally smooth if the initial data is smooth and has small norm in the critical Sobolev space $H ˙^{n /2}$ …

math.AP2000

Multilinear weighted convolution of $L^{2}$ functions, and applications to non-linear dispersive equations

Terence Tao

The $X^{s, b}$ spaces, as used by Beals, Bourgain, Kenig-Ponce-Vega, Klainerman-Machedon and others, are fundamental tools to study the low-regularity behaviour of non-linear disper…

Global regularity of wave maps I. Small critical Sobolev norm in high dimension

Multilinear weighted convolution of L2 functions, and applications to non-linear dispersive equations

Multilinear weighted convolution of $L^{2}$ functions, and applications to non-linear dispersive equations