Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations
Analysis of PDEs
2025-06-03 v4 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2002.07352,
title = {Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations},
author = {Bjoern Bringmann},
journal= {arXiv preprint arXiv:2002.07352},
year = {2025}
}
Comments
Major revision of the paper. The main theorem remains unchanged, but the proof has been simplified significantly