Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations

Abstract

We consider the radial focusing energy critical nonlinear wave equation in three spatial dimensions. We establish the stability of the ODE-blowup under random perturbations below the energy space. The argument relies on probabilistic Strichartz estimates in similarity coordinates.

arXiv commentMajor revision of the paper. The main theorem remains unchanged, but the proof has been simplified significantly