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.
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收藏
页码：399 / 419
页数：21
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