GENERAL DECAY OF SOLUTIONS FOR A VISCOELASTIC EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING

被引：7
|
作者：
Wu, Shun-Tang [1 ]
机构：
[1] Natl Taipei Univ Technol, Gen Educ Ctr, Taipei 106, Taiwan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2015年 / 19卷 / 02期
关键词：
Balakrishnan-Taylor damping; Global existence; General decay; Relaxation function; Viscoelastic equation; GLOBAL EXISTENCE; WAVE-EQUATION; RATES; CONVEXITY;
D O I：
10.11650/tjm.19.2015.4631
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A viscoelastic equation with Balakrishnan-Taylor damping and nonlinear boundary/interior sources is considered in a bounded domain. Under appropriate assumptions on the relaxation function and with certain initial data and by adopting the perturbed energy method, we establish uniform decay rate of the solution energy in terms of the behavior of the relaxation function, which are not necessarily of exponential or polynomial decay.
引用
收藏
页码：553 / 566
页数：14
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