Article
New phenomena for the null controllability of parabolic systems: Minimal time and geometrical dependence
Author/s | Ammar-Khodja, Farid
Benabdallah, Assia González Burgos, Manuel ![]() ![]() ![]() ![]() ![]() ![]() ![]() Teresa de Oteyza, María de la Luz de |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2016-12-15 |
Deposit Date | 2016-09-27 |
Published in |
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Abstract | We consider the null controllability problem for two coupled parabolic equations with a space-depending coupling term. We analyze both boundary and distributed null controllability. In each case, we exhibit a minimal time ... We consider the null controllability problem for two coupled parabolic equations with a space-depending coupling term. We analyze both boundary and distributed null controllability. In each case, we exhibit a minimal time of control, that is to say, a time T0 ∈ [0, ∞] such that the corresponding system is null controllable at any time T > T0 and is not if T < T0. In the distributed case, this minimal time depends on the relative position of the control interval and the support of the coupling term. We also prove that, for a fixed control interval and a time τ0 ∈ [0, ∞], there exist coupling terms such that the associated minimal time is τ0. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España Universidad Autónoma de México (UNAM) |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2013-41286-P
![]() IN102799 ![]() |
Citation | Ammar-Khodja, F., Benabdallah, A., González Burgos, M. y Teresa de Oteyza, M.d.l.L.d. (2016). New phenomena for the null controllability of parabolic systems: Minimal time and geometrical dependence. Journal of Mathematical Analysis and Applications, 444 (2), 1071-1113. |
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