Asymptotics from Scaling for Nonlinear Wave Equations

被引：0

作者：

Szpak, Nikodem ^{[1
]}

机构：

[1] Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Golm, Germany

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 35卷 / 10期

关键词：

Late-time asymptotics; Nonlinear wave equations; Scaling; 3 SPACE DIMENSIONS; INITIAL DATA; BLOW-UP;

D O I：

10.1080/03605300903540935

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a scaling technique which transforms the evolution problem for a nonlinear wave equation with small initial data to a linear wave equation with a distributional source. The exact solution of the latter uniformly approximates the late-time behavior of solutions of the nonlinear problem in timelike and null directions.

引用

页码：1876 / 1890

页数：15

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