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university of Provence - Aix-Marseille I |  |
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university of Provence - Aix-Marseille I | |
| HAL: hal-00021299, version 3 |
| arXiv: math.AP/0603484 |
| Detailed view |  Export this paper |
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| Preprint du LATP, Université de Provence 04-06 (2006) 1-14 |
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| Available versions: | v1 (2006-03-20) | v2 (2006-04-11) | v3 (2006-06-16) |
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| Inverse problems for two by two reaction-diffusion system using a Carleman estimate with one observation. |
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| Michel Cristofol 1Patricia Gaitan 1 |
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| (2006) |
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| For a two by two reaction-diffusion system on a bounded domain we give a simultaneous stability result for one coefficient and for the initial conditions. The key ingredient is a global Carleman-type estimate with a single observation acting on a subdomain. |
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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: | Centre universitaire de Khenchela (CUK) |
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centre universitaire de Khenchela |
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| Subject | : | Mathematics/Analysis of PDEs |
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| Inverse problems – reaction-diffusion systems – Carleman estimates |
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| hal-00021299, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00021299 | |
| oai:hal.archives-ouvertes.fr:hal-00021299 | |
| From: Patricia Gaitan | |
| Submitted on: Friday, 16 June 2006 09:39:18 | |
| Updated on: Friday, 16 June 2006 09:55:25 | |
