Null Controllability of Some Reaction-Diffusion Systems with Only One Control Force in Moving Domains
Null Controllability of Some Reaction-Diffusion Systems with Only One Control Force in Moving Domains
摘要
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.
基金
supported by PROCAD-CAPES and INCTMAT-CNPq
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