Strichartz estimates and Blowup stability for energy critical nonlinear wave equations

preprint2022arXivOpen access

Abstract

We prove Strichartz estimates in similarity coordinates for the radial wave equation with a self similar potential in dimensions d≥3d\geq 3. As an application of these, we establish the asymptotic stability of the ODE blowup profile of the energy critical radial nonlinear wave equation for 3≤d≤63\leq d\leq 6.

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