Exact controllability of thermoelastic plate equation with memory

被引：0
|
作者：
Liu, Ruijuan [1 ]
Chai, Shugen [1 ]
Cao, Xiaomin [1 ]
机构：
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Coupled system; Exact controllability; Gurtin-Pipkin equation; Plate equation; HEAT-CONDUCTION; SYSTEMS;
D O I：
10.1002/mma.5514
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider exact control problem for a coupled system of plate with Gurtin-Pipkin equation. Using duality arguments, the problem is reduced to the obtention of suitable observability estimates for the dual system. Firstly, we obtain the observability inequality of the dual system by means of multiplier method. Then, we prove that the system is exactly controllable based on the Hilbert Unique Method.
引用
收藏
页码：2369 / 2378
页数：10
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