We establish Strichartz estimates in similarity coordinates for the radial wave equation in three spatial dimensions with a (time-dependent) self-similar potential. As an application, we consider the critical wave equation and prove the asymptotic stability of the ordinary differential equations blowup profile in the energy space.
"Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation." Duke Math. J. 166 (9) 1627 - 1683, 15 June 2017. https://doi.org/10.1215/00127094-0000009X