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

被引：22

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.

引用

页数：10

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