GLOBAL EXISTENCE, GENERAL DECAY AND BLOW-UP FOR A NONLINEAR WAVE EQUATION WITH LOGARITHMIC SOURCE TERM AND FRACTIONAL BOUNDARY DISSIPATION

被引：5
|
作者：
Doudi, Nadjat [1 ,2 ]
Boulaaras, Salah [3 ]
Mezouar, Nadia [4 ]
Jan, Rashid [5 ]
机构：
[1] Univ El Oued, Lab Operator Theory, Fac Exact Sci, POB 789, El Oued 39000, Algeria
[2] Univ El Oued, Fac Exact Sci, Dept Math, EDP Fdn & Applicat, POB 789, El Oued 39000, Algeria
[3] Qassim Univ, Coll Sci & Arts, Dept Math, ArRass, Buraydah, Saudi Arabia
[4] Mascara Univ, Fac Econ Sci, Mascara 29000, Algeria
[5] Univ Swabi, Dept Math, Swabi 23430, KPK, Pakistan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2023年 / 16卷 / 06期
关键词：
General decay; global existence; fractional boundary dissipation; blow up; REGULARITY CRITERION; SYSTEM;
D O I：
10.3934/dcdss.2022106
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a wave equation with logarithmic source term and fractional boundary dissipation. We study the global existence of the solution under some conditions and prove the general decay of the solution in this case by using the Lyapunov functional. Also, the blow-up of solution is established at three different levels of energy using the potential well method.
引用
收藏
页码：1323 / 1345
页数：23
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