Stable blowup for the cubic wave equation in higher dimensions
Analysis of PDEs
2018-03-12 v2 Mathematical Physics
math.MP
Abstract
We consider the wave equation with a focusing cubic nonlinearity in higher odd space dimensions without symmetry restrictions on the data. We prove that there exists an open set of initial data such that the corresponding solution exists in a backward light-cone and approaches the ODE blowup profile.
Cite
@article{arxiv.1712.03833,
title = {Stable blowup for the cubic wave equation in higher dimensions},
author = {Athanasios Chatzikaleas and Roland Donninger},
journal= {arXiv preprint arXiv:1712.03833},
year = {2018}
}
Comments
In this new version, a mistake, pointed out by Birgit Sch\"orkhuber, and a number of typos have been fixed