NULL CONTROLLABILITY OF NONLINEAR CONTROL SYSTEMS GOVERNED BY COUPLED DEGENERATE PARABOLIC EQUATIONS

被引：0

作者：

Xu, Fengdan ^{[1
]}

Yin, Jingxue ^{[1
,2
]}

Zhou, Mingjun ^{[1
]}

Zhou, Qian ^{[1
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China

[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年

基金：

中国国家自然科学基金;

关键词：

Null controllability; coupled degenerate parabolic equations; Carleman estimate; APPROXIMATE CONTROLLABILITY; MODEL;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the null controllability of a nonlinear control system governed by coupled degenerate parabolic equations. We first establish the Carleman estimate and the observability inequality for solutions to the conjugate problem. Then we can prove the observability inequality and the null controllability of the linear control system. Finally, the nonlinear control system is shown to be null controllable by a fixed point argument and compact estimates.

引用

页数：15

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