On a Viscoelastic Plate Equation with Logarithmic Nonlinearity and Variable-Exponents: Global Existence, General Decay and Blow-Up of Solutions

被引：1

作者：

Choucha, Abdelbaki ^{[1
,2
]}

Boulaaras, Salah ^{[3
]}

机构：

[1] Amar Teleji Laghouat Univ, Fac Sci, Dept Mat Sci, Laghouat, Algeria

[2] Ghardaia Univ, Lab Math & Appl Sci, Ghardaia, Algeria

[3] Qassim Univ, Coll Sci, Dept Math, Buraydah 51452, Saudi Arabia

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2024年 / 50卷 / 04期

关键词：

General decay; Blow-up; Viscoelastic; Variable exponents; Logarithmic nonlinearity; Partial differential equations; Mathematical operators; WAVE-EQUATION;

D O I：

10.1007/s41980-024-00897-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A nonlinear viscoelastic plate equation with logarithmic nonlinearity and variable-exponents is studied. Firstly, the global existence is showed. Next, by using an integral inequality due to Komornik the general decay result is obtained. Finally, the blow-up of solutions is proved with negative initial energy.

引用

页数：21

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