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

Guillaume Olive

doi:10.1007/s00498-011-0071-x

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arXiv · 2609.09959

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

Guillaume Olive

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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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Guillaume Olive. 2026-09-09. Null-controllability for some linear parabolic systems with controls acting on different parts of the domain and its boundary. https://doi.org/10.1007/s00498-011-0071-x

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