General decay of solutions for a nonlinear system of viscoelastic wave equations with degenerate damping and source terms

General decay of solutions for a nonlinear system of viscoelastic wave equations with degenerate damping and source terms
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DOI:
10.1016/j.jmaa.2013.04.029
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发表时间:
2013-10
影响因子:
1.3
通讯作者:
Shun-Tang Wu
Shun-Tang Wu
中科院分区:
数学3区
文献类型:
--
作者:
Shun-Tang Wu

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研究了有界区域上一类具退化阻尼项和源项的非线性粘弹性波动方程组的初边值问题。在对弛豫函数、简并阻尼和源项作一定假设的情况下,得到了能量函数在一定初值下的衰减率。这改进了文献中的早期结果。
The initial boundary value problem for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms in a bounded domain is considered. Under some assumptions on the relaxation functions, degenerate damping and source terms, we obtain the decay rate of the energy function for certain initial data. This improves earlier results in the literature.