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A new relation between the condensation index of complex sequences and the null controllability of parabolic systems |
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| Authors: | Farid Ammar Khodja Assia Benabdallah Manuel González-Burgos Luz de Teresa |
| Institution: | 1. Laboratoire de mathématiques, université de Franche-Comté, 16, route de Gray, 25030 Besançon cedex, France;2. Université de Provence, CMI, 39, rue Frédéric-Joliot-Curie, 13453 Marseille cedex 13, France;3. Dpto. E.D.A.N., Universidad de Sevilla, Aptdo. 1160, 41080 Sevilla, Spain;4. Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, C.U. 04510 D.F. México, Mexico |
| Abstract: | In this note, we present a new result that relates the condensation index of a sequence of complex numbers with the null controllability of parabolic systems. We show that a minimal time is required for controllability. The results are used to prove the boundary controllability of some coupled parabolic equations. |
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