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

被引：0
作者：
Qian Li
Luofei He
机构：
[1] Wuhan University,School of Mathematics and Statistics
来源：
Boundary Value Problems | / 2018卷
关键词：
Viscoelastic wave equation; Strong damping; General decay; Blow up;
D O I：
暂无
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学科分类号：
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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