Insensitizing controls for the parabolic equations with dynamic boundary conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:475

Article

Zhang, Muming¹  Yin, Jingxue¹  Gao, Hang² 

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

[2] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

关键词: Parabolic equation;    Insensitizing controls;    Dynamic boundary conditions;   

DOI  :  10.1016/j.jmaa.2019.02.077

来源: Elsevier

【 摘 要 】

This paper concerns with the insensitizing controllability property of the semilinear parabolic equation with dynamic boundary conditions. This problem can be reduced to a (relaxed) controllability problem for a coupled parabolic system with dynamic boundary conditions. An observability estimate for the corresponding coupled system with this type of boundary conditions is established, whose proof relies on a new global Carleman estimate. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free