Global Well-Posedness and Stability for a Viscoelastic Plate Equation with a Time Delay

被引：18
|
作者：
Feng, Baowei [1 ]
机构：
[1] Southwestern Univ Finance & Econ, Coll Econ Math, Chengdu 611130, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
关键词：
EXPONENTIAL DECAY; EXTENSIBLE BEAM; WAVE-EQUATION; ASYMPTOTIC-BEHAVIOR; BOUNDARY; STABILIZATION; EXISTENCE; HEAT;
D O I：
10.1155/2015/585021
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A plate equation with a memory term and a time delay term in the internal feedback is investigated. Under suitable assumptions, we establish the global well-posedness of the initial and boundary value problem by using the Faedo-Galerkin approximations and some energy estimates. Moreover, by using energy perturbation method, we prove a general decay result of the energy provided that the weight of the delay is less than the weight of the damping.
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页数：10
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