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university of Provence - Aix-Marseille I |  |
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university of Provence - Aix-Marseille I | |
| HAL: hal-00516771, version 1 |
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| Probing for inclusions in heat conductive bodies |
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| Patricia Gaitan 1Hiroshi Isozaki 2 |
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| (2010-09-10) |
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| We consider the inverse boundary value problem arising from the equation of heat conduction. By using complex spherical waves, we give a mathematical theory and algorithm for probing the discontinuous part of the conductivity from the local boundary measurement without using knowledge of the initial data. We also give results on the numerical computation. |
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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: | Institute of Mathematics |
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University of Tsukuba |
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| 3: | University of Helsinki |
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University of Helsinki |
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| 4: | Tampere University of technology |
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Tampere University of Technology |
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| Subject | : | Mathematics/Analysis of PDEs |
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| hal-00516771, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00516771 | |
| oai:hal.archives-ouvertes.fr:hal-00516771 | |
| From: Patricia Gaitan | |
| Submitted on: Sunday, 12 September 2010 09:57:08 | |
| Updated on: Sunday, 12 September 2010 11:05:22 | |
