NULL CONTROLLABILITY FOR PARABOLIC EQUATIONS WITH DYNAMIC BOUNDARY CONDITIONS

被引：34
|
作者：
Maniar, Lahcen [1 ]
Meyries, Martin [2 ]
Schnaubelt, Roland [3 ]
机构：
[1] Cadi Ayyad Univ, LMDP, UMMISCO, IRD UPMC, BP 2390, Marrakech, Morocco
[2] Martin Luther Universitat Halle Wittenberg, Inst Math, D-06099 Halle, Germany
[3] Karlsruhe Inst Technol, Dept Math, D-76128 Karlsruhe, Germany
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2017年 / 6卷 / 03期
关键词：
Parabolic problems; dynamic boundary conditions; surface diffusion; Carleman estimate; null controllability; observability estimate; HEAT-EQUATION; REGULARITY; SYSTEMS;
D O I：
10.3934/eect.2017020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove null controllability for linear and semilinear heat equations with dynamic boundary conditions of surface diffusion type. The results are based on a new Carleman estimate for this type of boundary conditions.
引用
收藏
页码：381 / 407
页数：27
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