NULL CONTROLLABILITY WITH CONSTRAINTS ON THE STATE FOR THE 1-D KURAMOTO-SIVASHINSKY EQUATION

被引：11
作者：
Gao, Peng [1 ,2 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] NE Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R China
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2015年 / 4卷 / 03期
关键词：
Null controllability; 1-D Kuramoto-Sivashinsky equation; constraints on the state; INSENSITIZING CONTROLS; INERTIAL MANIFOLDS; WAVES; INSTABILITY; STABILITY;
D O I：
10.3934/eect.2015.4.281
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is addressed to study the null controllability with constraints on the state for the Kuramoto-Sivashinsky equation. We first consider the linearized problem. Then, by Kakutani fixed point theorem, we show that the same result holds for the Kuramoto-Sivashinsky equation.
引用
收藏
页码：281 / 296
页数：16
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