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

页码：281 / 296

页数：16

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