Energy decay and blow-up of solutions for a class of system of generalized nonlinear Klein-Gordon equations with source and damping terms

被引：0

作者：

Celik, Zeynep Sumeyye ^{[1
]}

Gur, Sevket ^{[1
]}

Piskin, Erhan ^{[2
]}

机构：

[1] Sakarya Univ, Fac Sci, Dept Math, Sakarya, Turkiye

[2] Dicle Univ, Dept Math, Diyarbakir, Turkiye

来源：

TURKISH JOURNAL OF MATHEMATICS | 2023年 / 47卷 / 04期

关键词：

Decay; blow up; generalized Klein-Gordon; WAVE EQUATIONS; ASYMPTOTIC STABILITY; GLOBAL EXISTENCE;

D O I：

10.55730/1300-0098.3428

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we investigate generalized coupled nonlinear Klein-Gordon equations with nonlinear damping and source terms and initial-boundary value conditions, in a bounded domain. We obtain decay of solutions by use of Nakao inequality. The blow up of solutions with negative initial energy is also established.

引用

页码：1288 / 1305

页数：19

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