General decay results for a viscoelastic wave equation with the logarithmic nonlinear source and dynamic Wentzell boundary condition *

被引：0

作者：

Guo, Dandan ^{[1
]}

Zhang, Zhifei ^{[2
,3
]}

机构：

[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

[3] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2024年 / 80卷

基金：

中国国家自然科学基金;

关键词：

Viscoelastic wave equation; Logarithmic nonlinear source; Dynamic Wentzell boundary condition; Lyapunov method; General decay estimate; EXISTENCE; RATES;

D O I：

10.1016/j.nonrwa.2024.104149

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we investigate a viscoelastic wave equation involving a logarithmic nonlinear source and dynamic Wentzell boundary condition. Making some assumptions on the memory kernel function and using convex function theory and Lyapunov method, we establish the general decay estimate of the solutions. Finally we give two examples to illustrate our results.

引用

页数：13

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