GENERAL DECAY OF ENERGY FOR A VISCOELASTIC EQUATION WITH DAMPING AND SOURCE TERMS
GENERAL DECAY OF ENERGY FOR A VISCOELASTIC EQUATION WITH DAMPING AND SOURCE TERMS
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DOI：
10.11650/tjm.16.2012.1584
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发表时间：
2012-01
影响因子：
0.4
通讯作者：
Shun-Tang Wu
中科院分区：
文献类型：
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作者：
Shun-Tang Wu
考虑有界域内具有线性阻尼和非线性源项的粘弹性方程的初始边值问题。采用[4]的扰动能量方法并修改[11,17]的方法，讨论了在松弛函数$g$和初始数据的一定条件下解能量的衰减率。还给出了能量函数的衰减估计。
The initial boundary value problem for a viscoelastic equation with linear damping and nonlinear source term in a bounded domain is considered. The decay rate of solution energy is discussed under some conditions on relaxation function $g$ and initial data by adopting the perturbed energy method of [4] and modifying the methods of [11,17]. Decay estimates of the energy function are also given.