General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms
General decay rate estimate for a viscoelastic equation with weakly nonlinear time-dependent dissipation and source terms
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DOI：
10.1063/1.3254323
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发表时间：
2009-11
影响因子：
1.3
通讯作者：
Wenjun Liu
中科院分区：
文献类型：
--
作者：
Wenjun Liu
研究了一类具有弱非线性时变耗散项和源项的正则形式的粘弹性波动方程。对于更广泛的松弛函数，在不对原点处的阻尼项强加任何限制性增长假设的情况下，我们建立了一个显式的和一般的能量衰减率结果。
A viscoelastic wave equation in canonical form with weakly nonlinear time-dependent dissipation and source terms is investigated in this paper. For a wider class of relaxation functions and without imposing any restrictive growth assumption on the damping term at the origin, we establish an explicit and general energy decay rate result.