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| HAL: hal-00196913, version 3 |
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| Available versions: | v1 (2007-12-14) | v2 (2008-05-21) | v3 (2008-06-12) |
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| Boundary stabilization of elastodynamic systems. Part I: Rellich-type relations for a problem in elasticity involving singularities. |
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| Romain Brossard 1Jean-Pierre Lohéac 1 |
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| (2007-12-13) |
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| For the Lamé's system, mixed boundary conditions generate singularities in the solution, mainly when the boundary of the domain is connected. We here prove Rellich relations involving these singularities. These relations are useful in the problem of boundary stabilization of the elastodynamic system when using the multipliers method. This problem is studied in Part II. |
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| 1: | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Subject | : | Mathematics/Analysis of PDEs |
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| P.D.E. – Mixed boundary conditions – Singularities – Lamé system |
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| hal-00196913, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00196913 | |
| oai:hal.archives-ouvertes.fr:hal-00196913 | |
| From: Jean-Pierre Loheac | |
| Submitted on: Thursday, 12 June 2008 12:57:23 | |
| Updated on: Thursday, 12 June 2008 13:46:08 | |
