An elementary proof of the blow-up for semilinear wave equation in high space dimensions

被引：41

作者：

Jiao, HL ^{[1
]}

Zhou, ZF

机构：

[1] Ferris State Univ, Dept Math, Big Rapids, MI 49307 USA

[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年 / 189卷 / 02期

关键词：

D O I：

10.1016/S0022-0396(02)00041-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns the blow-up of solutions to u(u) - Au Deltau = \u\(p) in high dimensions for n greater than or equal to 4 and 1 < p < p(0)(n), where p(0)(n) is a critical exponent. We proved that the solutions blow up in finite time by estimating the solutions near the wave front using elementary inequalities. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：355 / 365

页数：11

共 18 条

[1]

[Anonymous], 1992, J PARTIAL DIFFER EQ

[2] Weighted Strichartz estimates and global existence for semilinear wave equations [J].