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Null Controllability of Some Reaction-Diffusion Systems with Only One Control Force in Moving Domains |
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| Authors: | J. Límaco M. Clark A. Marinho S. B. de Menezes A. T. Louredo |
| Affiliation: | 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 nullcontrollability property for semilinear parabolic systems in adomain whose boundary moves in time by a single control force actingon a prescribed subdomain. The proof is based on Kakutani's fixedpoint theorem combined with observability estimates for theassociated linearized system. |
| Keywords: | Kakutani's fixed point theorem Unique continuation Nullcontrollability |
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