Blowup stability at optimal regularity for the critical wave equation

Abstract

We establish Strichartz estimates for the radial energy-critical wave equation in 5 dimensions in similarity coordinates. Using these, we prove the nonlinear asymptotic stability of the ODE blowup in the energy space.

73 pages

References in corpus (2)

• Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R^{3+1}
• On stability of type II blow up for the critical NLW on \R^{3+1}