Growth of solutions with L2(p +2)-norm for a coupled nonlinear viscoelastic Kirchhoff equation with degenerate damping terms

被引：1

作者：

Choucha, Abdelbaki ^{[1
,2
]}

Hidan, Muajebah ^{[3
]}

Cherif, Bahri ^{[4
]}

Idris, Sahar Ahmed ^{[5
]}

机构：

[1] Univ El Oued, Dept Math, Fac Exact Sci, El Oued, Algeria

[2] Amar Teleji Laghouat Univ, Fac Sci, Dept Matter Sci, Laghouat, Algeria

[3] King Khalid Univ, Fac Sci, Math Dept, Abha 61471, Saudi Arabia

[4] Qassim Univ, Coll Sci & Arts, Dept Math, ArRass, Buraydah, Saudi Arabia

[5] King Khalid Univ, Coll Ind Engn, Abha 62529, Saudi Arabia

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 01期

关键词：

viscoelastic equation; exponential growth; degenerate damping term; GENERAL DECAY; BLOW-UP; WAVE-EQUATION; EXISTENCE;

D O I：

10.3934/math.2022025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider a coupled nonlinear viscoelastic Kirchhoff equations with degenerate damping, dispersion and source terms. Under suitable hypothesis, we will prove that when the initial data are large enough (in the energy point of view), the energy grows exponentially and thus so the L2(p+2)-norm.

引用

页码：371 / 383

页数：13

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