Blow up of Solutions of a Nonlinear Viscoelastic Wave Equation
Blow up of Solutions of a Nonlinear Viscoelastic Wave Equation
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DOI：
10.1007/s10440-009-9524-3
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发表时间：
2010-07
影响因子：
1.6
通讯作者：
Jung Ae Kim;Yinghao Han
中科院分区：
文献类型：
--
作者：
Jung Ae Kim;Yinghao Han
考虑一类具有非线性源项的非线性粘弹性波动方程。在适当的条件下，证明了任意初始能量为负的弱解在有限时间内爆炸。
We consider a nonlinear viscoelastic wave equation with nonlinear source term. Under suitable conditions ong, it is proved that any weak solution with negative initial energy blows up in finite time ifp>2.