General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping

被引：13

作者：

Li, Qian ^{[1
]}

He, Luofei ^{[1
]}

机构：

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

来源：

BOUNDARY VALUE PROBLEMS | 2018年

关键词：

Viscoelastic wave equation; Strong damping; General decay; Blow up; INITIAL-ENERGY SOLUTIONS; GLOBAL EXISTENCE; WELL-POSEDNESS; RATES;

D O I：

10.1186/s13661-018-1072-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is concerned with the decay and blow-up properties of a nonlinear viscoelastic wave equation with strong damping. We first show a local existence theorem. Then, we prove the global existence of solutions and establish a general decay rate estimate. Finally, we show the finite time blow-up result for some solutions with negative initial energy and positive initial energy.

引用

页数：22

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