T. Tao

activity

19982009

most citedIll-posedness for nonlinear Schrodinger and wave equations

119 citations · 1k across the 83 of their papers we have counts for

collaborators

Showing 2009 · math.APShow all

6 papers · 2 filters

math.AP2009★ 32 cited

Global regularity of wave maps VII. Control of delocalised or dispersed solutions

Terence Tao

This is the final paper in the series \cite{tao:heatwave}, \cite{tao:heatwave2}, \cite{tao:heatwave3}, \cite{tao:heatwave4} that establishes global regularity for two-dimensional w…

math.AP2009★ 15 cited

Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation

Terence Tao

Let $d \geq 3$ . We consider the global Cauchy problem for the generalised Navier-Stokes system \partial_t u + (u \cdot \nabla) u &= - D^2 u - \nabla p \nabla \cdot u &= 0 u(0,x) &=…

math.AP2009

Operator splitting for the KdV equation

Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro +1

We provide a new analytical approach to operator splitting for equations of the type $u_{t} = A u + B (u)$ where $A$ is a linear operator and $B$ is quadratic. A particular example is the…

math.AP2009★ 29 cited

Global regularity of wave maps VI. Abstract theory of minimal-energy blowup solutions

Terence Tao

In the previous papers in this series, the global regularity conjecture for wave maps from two-dimensional Minkowski space $R^{1 + 2}$ to hyperbolic space $\H^m$ was reduced to the…

math.AP2009★ 13 cited

An inverse theorem for the bilinear $L^{2}$ Strichartz estimate for the wave equation

Terence Tao

A standard bilinear $L^{2}$ Strichartz estimate for the wave equation, which underlies the theory of $X^{s, b}$ spaces of Bourgain and Klainerman-Machedon, asserts (roughly speaking)…

math.AP2009

The high exponent limit $p \to \infty$ for the one-dimensional nonlinear wave equation

Terence Tao

We investigate the behaviour of solutions $ϕ = ϕ^{(p)}$ to the one-dimensional nonlinear wave equation $- ϕ_{tt} + ϕ_{xx} = - ∣ ϕ ∣^{p - 1} ϕ$ with initial data $ϕ (0, x) = ϕ_{0} (x)$ , $ϕ_t(0,…

Global regularity of wave maps VII. Control of delocalised or dispersed solutions

Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation

Operator splitting for the KdV equation

Global regularity of wave maps VI. Abstract theory of minimal-energy blowup solutions

An inverse theorem for the bilinear L2 Strichartz estimate for the wave equation

The high exponent limit p→∞ for the one-dimensional nonlinear wave equation

An inverse theorem for the bilinear $L^{2}$ Strichartz estimate for the wave equation

The high exponent limit $p \to \infty$ for the one-dimensional nonlinear wave equation