OBSERVABILITY ESTIMATE AND NULL CONTROLLABILITY FOR ONE-DIMENSIONAL FOURTH ORDER PARABOLIC EQUATION

被引：39

作者：

Zhou, Zhongcheng ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 06期

关键词：

Fourth order parabolic equation; Carleman estimate; Observability inequality; Null controllability; APPROXIMATE CONTROLLABILITY; BOUNDARY CONTROLLABILITY; SYSTEM;

D O I：

10.11650/twjm/1500406835

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the observability and null controllability for a class of one-dimensional fourth order parabolic equation. By means of establishing the global Carleman estimates, we derive the observability inequalities for one-dimensional linear fourth order parabolic equation with potentials. The null controllability results for one-dimensional fourth order semilinear equation are also presented.

引用

页码：1991 / 2017

页数：27

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