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.

引用

页码：299 / 310

页数：11

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