Null Controllability of Some Reaction-Diffusion Systems with Only One Control Force in Moving Domains

In this article, the authors establish the local null controllability property for semilinear parabolic systems in a domain whose boundary moves in time by a single control force acting on a prescribed subdomain. The proof is based on Kakutani＇s fixed point theorem combined with observability estima...

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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2016, Vol.37 (1), p.29-52
Main Authors: Límaco, J., Clark, M., Marinho, A., de Menezes, S. B., Louredo, A. T.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Kakutani不动点定理
Mathematics
Mathematics and Statistics
力作用
半线性抛物系统
反应扩散系统
可观测性
控制
能控性
运动
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Summary:In this article, the authors establish the local null controllability property for semilinear parabolic systems in a domain whose boundary moves in time by a single control force acting on a prescribed subdomain. The proof is based on Kakutani＇s fixed point theorem combined with observability estimates for the associated lineaxized system.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-015-0959-8