Delayed wave equation with logarithmic variable-exponent nonlinearity

被引：3
作者：
Kafini, Mohammad [1 ,2 ]
Noor, Maher [2 ,3 ]
机构：
[1] interdisciplinary Res Ctr construction & Bldg Mat, Dept Math, Dhahran, Saudi Arabia
[2] King Fahd Univ Petr & Minerals, Dhahran 31261, Saudi Arabia
[3] Dammam Community Coll, Dept Math, Dhahran, Saudi Arabia
来源：
ELECTRONIC RESEARCH ARCHIVE | 2023年 / 31卷 / 05期
关键词：
decay; nonlinearly damped; delay time; variable exponent; GLOBAL NONEXISTENCE THEOREMS; BLOW-UP; EVOLUTION-EQUATIONS; BOUNDARY; DECAY; TERM; T)-LAPLACIAN; STABILITY; EXISTENCE; P(X;
D O I：
10.3934/era.2023150
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A delayed nonlinear wave equation with variable exponents of logarithmic type is discussed in this paper. In the presence of the logarithmic nonlinear source, we established a global existence result under sufficient conditions on the initial data only without imposing the Sobolev Logarithmic Inequality. After that, we established global results of exponential and polynomial types according to the range values of the exponents. At the end, we give a numerical study that supports our theoretical results.
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页码：2974 / 2993
页数：20
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