A REMARK ON BLOW-UP SOLUTIONS FOR NONLINEAR WAVE EQUATION WITH WEIGHTED NONLINEARITIES

被引：0

作者：

Alarfaj, Thanaa ^{[1
]}

Aljaber, Noha

Alshammari, Manal

Majdoub, Mohamed

机构：

[1] Imam Abdulrahman Bin Faisal Univ, Coll Sci, Dept Math, POB 1982, Dammam, Saudi Arabia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS | 2019年 / 10卷 / 06期

关键词：

Nonlinear wave equation; blow-up; differential inequalities; GLOBAL-SOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the blow-up of solutions to the nonlinear wave equation with weighted nonlinearities u(tt) - Delta u = omega(x) f (u)g (u(t)) where omega : R-N -> R is a given function and f, g : R -> R having super-linear growth. Sufficient conditions of blow-up in finite time of solutions are obtained.

引用

页码：69 / 78

页数：10

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