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Null-controllability for some linear parabolic systems with controls acting on different parts of the domain and its boundary

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Abstract

In this work, we study the null-controllability properties of linear parabolic systems with constant coefficients in the case where several controls are acting on different distributed subdomains and/or on the boundary. We prove a Kalman rank condition in the one-dimensional case. In the case where only distributed controls are considered, we also establish related results such as a Carleman estimate.

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Authors and Affiliations

  1. LATP, UMR 6632, Aix-Marseille Université, Technopôle Château-Gombert, 39, rue F. Joliot-Curie, 13453, Marseille Cedex 13, France

    Guillaume Olive

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  1. Guillaume Olive
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Correspondence to Guillaume Olive.

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Olive, G. Null-controllability for some linear parabolic systems with controls acting on different parts of the domain and its boundary. Math. Control Signals Syst. 23, 257–280 (2012). https://doi.org/10.1007/s00498-011-0071-x

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  • DOI: https://doi.org/10.1007/s00498-011-0071-x

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