A Carleman estimate in the neighborhood of a multi-interface and applications to control theory

Abstract : We prove a Carleman estimate in a neighborhood of a multi-interface, that is, near a point where n manifolds intersect, under compatibility assumptions between the Carleman weight, the operators at the multi-interface, and the elliptic operators in the interior and the usual sub-ellipticity condition. The compatibility condition at the multi-interface is a version of the known covering condition for systems in the literature. This Carleman estimate is a generalization of the results obtained in [6, 7]. Applications in control theory for second-order transmission problems are also considered, and provide a generalization of the known results for one-dimensional networks of strings [4, 13, 19, 30] to higher dimensions.
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Pré-publication, Document de travail
2018
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Contributeur : Rémi Buffe <>
Soumis le : mercredi 7 février 2018 - 16:43:17
Dernière modification le : jeudi 3 mai 2018 - 15:32:07
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  • HAL Id : hal-01703306, version 1

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Rémi Buffe. A Carleman estimate in the neighborhood of a multi-interface and applications to control theory. 2018. 〈hal-01703306〉

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