LOCAL NULL CONTROLLABILITY FOR A PARABOLIC EQUATION WITH LOCAL AND NONLOCAL NONLINEARITIES IN MOVING DOMAINS

被引：0
|
作者：
Lopes, Andre Da Rocha [1 ]
Limaco, Juan [2 ]
机构：
[1] Univ Estado Rio De Janeiro, Dept Anal Matemat, BR-20550900 Rio De Janeiro, RJ, Brazil
[2] Univ Fed Fluminense, Dept Matemat Aplicada, BR-24020140 Niteroi, RJ, Brazil
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2022年 / 11卷 / 03期
关键词：
Null controllability; nonlinear parabolic PDE; nonlocal nonlinearities; Carleman inequalities; moving domains; APPROXIMATE CONTROLLABILITY; CARLEMAN INEQUALITIES; SYSTEMS;
D O I：
10.3934/eect.2021024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a local null controllability result for a nonlinear parabolic PDE with local and nonlocal nonlinearities in a domain whose boundary moves in time by a control force with a multiplicative part acting on a prescribed subdomain. We prove that, if the initial data is sufficiently small and the linearized system at zero satisfies an appropriate condition, the equation can be driven to zero.
引用
收藏
页码：749 / 779
页数：31
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