Stable blowup for focusing semilinear wave equations in all dimensions
Analysis of PDEs
2024-05-08 v2 Mathematical Physics
math.MP
Abstract
We consider the wave equation with focusing power nonlinearity. The associated ODE in time gives rise to a self-similar solution known as the ODE blowup. We prove the nonlinear asymptotic stability of this blowup mechanism outside of radial symmetry in all space dimensions and for all superlinear powers. This result covers for the first time the whole energy-supercritical range without symmetry restrictions.
Keywords
Cite
@article{arxiv.2304.08187,
title = {Stable blowup for focusing semilinear wave equations in all dimensions},
author = {Matthias Ostermann},
journal= {arXiv preprint arXiv:2304.08187},
year = {2024}
}
Comments
45 pages, with minor improvements to match the published version