On the stability of self-similar solutions to nonlinear wave equations
Analysis of PDEs
2016-08-25 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
We consider an explicit self-similar solution to an energy-supercritical Yang-Mills equation and prove its mode stability. Based on earlier work by one of the authors, we obtain a fully rigorous proof of the nonlinear stability of the self-similar blowup profile. This is a large-data result for a supercritical wave equation. Our method is broadly applicable and provides a general approach to stability problems related to self-similar solutions of nonlinear wave equations.
Keywords
Cite
@article{arxiv.1502.06280,
title = {On the stability of self-similar solutions to nonlinear wave equations},
author = {Ovidiu Costin and Roland Donninger and Irfan Glogić and Min Huang},
journal= {arXiv preprint arXiv:1502.06280},
year = {2016}
}
Comments
13 pages