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.
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页数：22
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