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

共 50 条

[41] General decay of solutions of a wave equation with a boundary control of memory type [J].

Messaoudi, Salim A. ;

Soufyane, Abdelaziz .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) :2896-2904

[42] Energy decay of solutions of nonlinear viscoelastic problem with the dynamic and acoustic boundary conditions [J].

Lee, Mi Jin ;

Park, Jong Yeoul .

BOUNDARY VALUE PROBLEMS, 2018,

[43] GLOBAL EXISTENCE AND NONEXISTENCE FOR THE VISCOELASTIC WAVE EQUATION WITH NONLINEAR BOUNDARY DAMPING-SOURCE INTERACTION [J].

Said-Houari, Belkacem ;

Falcao Nascimento, Flavio A. .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (01) :375-403

[44] General decay of solutions for a weak viscoelastic equation with acoustic boundary conditions [J].

Liu, Wenjun ;

Sun, Yun .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2014, 65 (01) :125-134

[45] EXISTENCE AND DECAY OF SOLUTIONS FOR A HIGHER-ORDER VISCOELASTIC WAVE EQUATION WITH LOGARITHMIC NONLINEARITY [J].

Piskin, Erhan ;

Irkil, Nazli .

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2021, 70 (01) :300-319

[46] BLOW-UP AND GENERAL DECAY OF SOLUTIONS FOR A NONLINEAR VISCOELASTIC EQUATION [J].

Chen, Wenying ;

Xiong, Yangping .

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,

[47] General and optimal decay rates for a viscoelastic wave equation with strong damping [J].

Li, Qian .

AIMS MATHEMATICS, 2022, 7 (10) :18282-18296

[48] GENERAL DECAY RATE ESTIMATES FOR VISCOELASTIC WAVE EQUATION WITH VARIABLE COEFFICIENTS [J].

CAO Xiaomin ;

YAO Pengfei .

JournalofSystemsScience&Complexity, 2014, 27 (05) :836-852

[49] General decay rate estimates for viscoelastic wave equation with variable coefficients [J].

Xiaomin Cao ;

Pengfei Yao .

Journal of Systems Science and Complexity, 2014, 27 :836-852

[50] General decay rate estimates for viscoelastic wave equation with variable coefficients [J].

Cao Xiaomin ;

Yao Pengfei .

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2014, 27 (05) :836-852

← 1 2 3 4 5 →