On decay and blow-up of solutions for a system of equations

被引：5

作者：

He, Luofei ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

APPLICABLE ANALYSIS | 2021年 / 100卷 / 11期

关键词：

General decay; blow up; coupled viscoelastic equations; relaxation function; VISCOELASTIC EQUATION; WELL-POSEDNESS; UNIFORM DECAY; GENERAL DECAY; EXISTENCE;

D O I：

10.1080/00036811.2019.1689562

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a system of two viscoelastic equations with Dirichlet boundary conditions. Under suitable conditions, we establish a general decay result of solutions. Moreover, we prove a blow-up result for certain solutions with negative initial energy. This result extends the earlier result obtained by Liu [Uniform decay of solutions for a quasilinear system of viscoelastic equations, Nonlinear Anal. TMA 71 (2009) 2257-2267], in which only the usual exponential and polynomial decay rates are considered.

引用

页码：2449 / 2477

页数：29

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