On similarity solutions and blow-up spectra for a semilinear wave equation

被引：11

作者：

Galaktionov, VA ^{[1
]}

Pohozaev, SI

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

[2] MV Keldysh Appl Math Inst, Moscow 125047, Russia

[3] VA Steklov Math Inst, Moscow 117966, Russia

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2003年 / 61卷 / 03期

关键词：

semilinear wave equation; blow-up; asymptotic behaviour; similarity solutions; fibering method; quadratic pencil; eigenvalue problem;

D O I：

10.1090/qam/1999839

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct countable spectra of different asymptotic patterns of self-similar and approximate self-similar types for global and blow-up solutions for the semi-linear wave equation u(tt) = Deltau + \u\(p-1)u, x is an element of R-N, t > 0, in different ranges of exponent p and dimension N.

引用

页码：583 / 600

页数：18

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