Exponential energy decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with strong damping

被引：6

作者：

Li, Gang ^{[1
]}

Hong, Linghui ^{[1
]}

Liu, Wenjun ^{[1
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

来源：

APPLICABLE ANALYSIS | 2013年 / 92卷 / 05期

关键词：

viscoelastic wave equation; Kirchhoff type; strong damping; exponential decay; BLOW-UP SOLUTIONS; GLOBAL EXISTENCE; INTEGRODIFFERENTIAL EQUATION; UNIFORM DECAY; GENERAL DECAY; NONEXISTENCE; STABILITY;

D O I：

10.1080/00036811.2011.647911

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial boundary value problem for a system of viscoelastic wave equations of Kirchhoff type with strong damping is considered. We prove that, under suitable assumptions on relaxation functions and certain initial data, the decay rate of the solutions energy is exponential.

引用

页码：1046 / 1062

页数：17

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