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| HAL : hal-00474989, version 2 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (21-04-2010) | v2 (18-10-2011) |
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| Controllability to trajectories for some parabolic systems of three and two equations by one control force |
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| Assia Benabdallah 1Michel Cristofol 1 |
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| (02/04/2010) |
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| We present a controllability result for a class of linear parabolic systems of 3 equations. To prove the result, we establish a global Carleman estimate for the solutions of a system of 2 coupled parabolic equations with first order terms. We also obtain stability results for the identification of coefficients of the systems. |
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| 1 : | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
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CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
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| 2 : | Instituto de Matematicas |
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Universidad National Autonoma de Mexico |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Control – Observability – Carleman estimates – Reaction diffusion systems – Inverse problems problems |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00474989, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00474989 | |
| oai:hal.archives-ouvertes.fr:hal-00474989 | |
| Contributeur : Patricia Gaitan | |
| Soumis le : Lundi 17 Octobre 2011, 23:07:04 | |
| Dernière modification le : Mardi 18 Octobre 2011, 08:29:55 | |
