Null controllability of some reaction-diffusion systems with only one control force in moving domains

Abstract

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 linearized system.

Keywords

Kakutani’s fixed point theorem / Unique continuation / Null controllability

References

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