Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity

被引：24

作者：

Al-Gharabli, Mohammad M. ^{[1
]}

Guesmia, Aissa ^{[2
]}

Messaoudi, Salim A. ^{[3
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math, Preparatory Year Program, Dhahran, Saudi Arabia

[2] Univ Lorraine, Inst Elie Cartan Lorraine, UMR 7502, Metz, France

[3] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 01期

关键词：

Asymptotic stability; viscoelastic; plate equation; logarithmic nonlinearity; GLOBAL EXISTENCE; GENERAL DECAY; WAVE-EQUATION; BLOW-UP; NONEXISTENCE; ENERGY; RATES;

D O I：

10.1080/00036811.2018.1484910

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a viscoelastic plate equation with a velocity-dependent material density and a logarithmic nonlinearity. Using the Faedo-Galaerkin approximations and the multiplier method, we establish the existence of the solutions of the problem and we prove an explicit and general decay rate result. These results extend and improve many results in the literature.

引用

页码：50 / 74

页数：25

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