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| Null Controllability of Some Reaction-Diffusion Systems with Only One Control Force in Moving Domains |
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Citation： |
J. LíMACO,M. CLARK,A. MARINHO,S. B. de MENEZES,A. T. LOUREDO.Null Controllability of Some Reaction-Diffusion Systems with Only One Control Force in Moving Domains[J].Chinese Annals of Mathematics B,2016,37(1):29~52 |
| Page view： 3337
Net amount： 1613 |
Authors： |
J. LíMACO; M. CLARK;A. MARINHO;S. B. de MENEZES;A. T. LOUREDO |
Foundation： |
This work was supported by PROCAD-CAPES and
INCTMAT-CNPq. |
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| 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 |
Classification： |
93B05, 73C05, 35B37 |
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