FINITE TIME BLOW UP OF SOLUTIONS FOR A STRONGLY DAMPED NONLINEAR KLEIN-GORDON EQUATION WITH VARIABLE EXPONENTS

被引：10
|
作者：
Piskin, Erhan [1 ]
机构：
[1] Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkey
来源：
HONAM MATHEMATICAL JOURNAL | 2018年 / 40卷 / 04期
关键词：
Finite time blow up; Klein-Gordon equation; Variable exponent;
D O I：
10.5831/HMJ.2018.40.4.771
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper, we investigate a strongly damped nonlinear Klein-Gordon equation with nonlinearities of variable exponent type u(tt) - Delta u - Delta u(t) + m(2)u + vertical bar u(t)vertical bar(p(x)) (2)u(t) = vertical bar u vertical bar(q(x)) (2)u associated with initial and Dirichlet boundary conditions in a bounded domain. We obtain a nonexistence of solutions if variable exponents p (.), q (.) and initial data satisfy some conditions.
引用
收藏
页码：771 / 783
页数：13
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