Carleman estimates and null controllability of a class of singular parabolic equations

被引：8

作者：

Du, Runmei ^{[1
,2
]}

Eichhorn, Jurgen ^{[3
]}

Liu, Qiang ^{[4
]}

Wang, Chunpeng ^{[1
]}

机构：

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

[2] Changchun Univ Technol, Sch Basic Sci, Changchun 130012, Jilin, Peoples R China

[3] Ernst Moritz Arndt Univ Greifswald, Inst Math & Informat, D-17487 Greifswald, Germany

[4] Shenzhen Univ, Coll Math & Computat Sci, Shenzhen 518060, Peoples R China

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2019年 / 8卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Carleman estimate; null controllability; singular equation; APPROXIMATE CONTROLLABILITY; HEAT-EQUATION; DEGENERATE; OPERATORS; BOUNDARY; INEQUALITIES; SYSTEMS;

D O I：

10.1515/anona-2016-0266

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider control systems governed by a class of semilinear parabolic equations, which are singular at the boundary and possess singular convection and reaction terms. The systems are shown to be null controllable by establishing Carleman estimates, observability inequalities and energy estimates for solutions to linearized equations.

引用

页码：1057 / 1082

页数：26