Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms

被引:0
作者
Mi Jin Lee
Jum-Ran Kang
Sun-Hye Park
机构
[1] Pusan National University,Department of Mathematics
[2] Dong-A University,Department of Mathematics
[3] Pusan National University,Center for Education Accreditation
来源
Boundary Value Problems | / 2019卷
关键词
Blow-up; Wave equation; Viscoelasticity; 35L05; 35B44;
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摘要
In this paper, we consider the blow-up result of solution for a quasilinear viscoelastic wave equation with strong damping and boundary nonlinear damping. We prove a finite time blow-up result of solution with positive initial energy as well as nonpositive initial energy under suitable conditions on the initial data and positive function g.
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