Strichartz estimates and blowup stability for energy critical nonlinear wave equations

Abstract

We prove Strichartz estimates in similarity coordinates for the radial wave equation with a self-similar potential in dimensions d ≥ 4 d\geq 4 . As an application of these, we establish the asymptotic stability of the ODE blowup profile of the energy critical radial nonlinear wave equation for 4 ≤ d ≤ 6 4\leq d\leq 6 .