Nonlinear Stability of Self-Similar Solutions for Semilinear Wave Equations

被引：6

作者：

Donninger, Roland ^{[1
]}

机构：

[1] Univ Vienna, Fac Phys, A-1090 Vienna, Austria

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 35卷 / 04期

关键词：

Blow up; Self-similar solution; Wave equation; BLOW-UP RATE;

D O I：

10.1080/03605300903575857

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove nonlinear stability of the fundamental self-similar solution of the wave equation with a focusing power nonlinearity tt-=p for [image omitted] in the radial case. The proof is based on a semigroup formulation of the wave equation in similarity coordinates.

引用

页码：669 / 684

页数：16

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