Null controllability of the heat equation in pseudo-cylinders by an internal control
Résumé
In this paper we prove the null controllability of the heat equation in domains which have a cylindrical part and which are limited by a Lipschitz graph. The proof consists mainly on getting a Carleman estimate, which presents the usual absorptions properties. In order to face the difficulty that the domain is just Lipschitz, we use its cylindrical structure and approximate the system by the same system stated in regular domains.
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Null controllability in pseudo cylinders V1.pdf (318.03 Ko)
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