Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity

被引：0

作者：

Kakumani, Bhargav Kumar ^{[1
]}

Yadav, Suman Prabha ^{[1
]}

机构：

[1] BITS Pilani, Dept Math, Hyderabad Campus, Hyderabad, India

来源：

ASYMPTOTIC ANALYSIS | 2023年 / 135卷 / 3-4期

关键词：

Viscoelasticity; global existence; decay estimates; convexity; logarithmic nonlinearity; GENERAL DECAY RESULT; VARIABLE EXPONENT; STABILITY; NONEXISTENCE; HISTORY; SYSTEM; RATES;

D O I：

10.3233/ASY-231859

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider a viscoelastic plate equation with a logarithmic nonlinearity in the presence of nonlinear frictional damping term. Here we prove the existence of the solution to the problem using the Faedo-Galerkin method. Also, we prove few general decay rate results.

引用

页码：399 / 419

页数：21

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