1. Universidade Federal Fluminense, IM, R J, Brazil;2. Universidade Federal do Piauí, DM, PI, Brazil;3. Universidade Federal do Ceará, DM, CE, Brazil;4. Universidade Estadual da Paraíba, DM, PB, Brazil
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.