Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
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DOI：
10.1016/j.jmaa.2005.07.022
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发表时间：
2006-08
影响因子：
1.3
通讯作者：
S. Messaoudi
中科院分区：
文献类型：
--
作者：
S. Messaoudi
本文考虑具有初值和Dirichlet边界条件的非线性粘弹性方程。对于非增的正函数g和p>；m，我们证明了存在具有正初始能量的解在有限时间内爆破。
In this paper, we consider the nonlinear viscoelastic equation with initial conditions and Dirichlet boundary conditions. For nonincreasing positive functions g and for p>m, we prove that there are solutions with positive initial energy that blow up in finite time.