CONTROLLABILITY OF A TIME-DISCRETE 1D PARABOLIC SYSTEM
Résumé
This article investigates the $\phi(\Delta t)$--null controllability of a time-discrete parabolic system with Kirchhoff boundary conditions, using a single boundary control. We demonstrate this $\phi(\Delta t)$--null controllability by deriving an appropriate Carleman estimate. Furthermore, we establish that the limit of these controls for the discrete system turns out to be a control responsible for the null controllability of the associated continuous system.
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