Blow-up of solutions of some nonlinear wave equations

被引：3

作者：

Galakhov, E. I. ^{[1
]}

机构：

[1] Russian Acad Sci, VA Steklov Math Inst, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2009年 / 45卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

SPACE DIMENSIONS; EXISTENCE;

D O I：

10.1134/S0012266109010078

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyze the problem of blow-up of global solutions of a semilinear wave equation with a potential and with a possible degeneration at infinity for nonnegative initial data with compact support. By using the nonlinear capacity method, we prove the theorem on the nonexistence of such a solution for a subcritical and the critical nonlinearity exponent.

引用

页码：59 / 67

页数：9

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