On the Stability of Self-Similar Solutions to Nonlinear Wave Equations

被引：0
|
作者：
Ovidiu Costin
Roland Donninger
Irfan Glogić
Min Huang
机构：
[1] The Ohio State University,Department of Mathematics
[2] Rheinische Friedrich-Wilhelms-Universität Bonn,Mathematisches Institut
[3] City University of Hong Kong,Department of Mathematics
来源：
Communications in Mathematical Physics | 2016年 / 343卷
关键词：
Spectral Problem; Unstable Mode; Nonlinear Wave Equation; Global Regularity; Unstable Eigenvalue;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：299 / 310
页数：11
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