On Behavior of Solutions for Nonlinear Klein-Gordon Wave Type Models with a Logarithmic Nonlinearity and Multiple Time-Varying Delays

被引：1

作者：

Belmiloudi, Aziz ^{[1
]}

机构：

[1] Inst Rech Math Rennes, 20 Ave Buttes Coesmes,CS 14315, F-35043 Rennes, France

来源：

AXIOMS | 2024年 / 13卷 / 01期

关键词：

nonlinear Klein-Gordon equation; multiple time-varying delays; nonlocal equation; logarithmic source term; asymptotic behavior; energy decay; WEAK VISCOELASTIC EQUATION; GLOBAL EXISTENCE; BLOW-UP; DECAY; ENERGY; STABILITY; BOUNDARY; INSTABILITY;

D O I：

10.3390/axioms13010029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and exponential stability of solutions to a class of nonlinear delay Klein-Gordon wave type models on a bounded domain. Such models include multiple time-varying delays, frictional damping, and nonlinear logarithmic source terms. After showing the local existence result of the solutions using Faedo-Galerkin's method and logarithmic Sobolev inequality, the global existence is analyzed. Then, under some appropriate conditions, energy decay estimates and exponential stability results of the global solutions are investigated.

引用

页数：20

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