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| Detailed view | Preprint, Working Paper, ... |
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| Available versions: | v1 (2009-03-23) | v2 (2009-04-28) |
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| Boundary stabilization and control of wave equations by means of a general multiplier method |
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| Pierre Cornilleau1Jean-Pierre Loheac1, 2 |
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| We describe a general multiplier method to obtain boundary stabilization of the wave equation by means of a (linear or quasi-linear) Neumann feedback. This also enables us to get Dirichlet boundary control of the wave equation. This method leads to new geometrical cases concerning the "active" part of the boundary where the feedback (or control) is applied. Due to mixed boundary conditions, the Neumann feedback case generate singularities. Under a simple geometrical condition concerning the orientation of the boundary, we obtain a stabilization result in linear or quasi-linear cases. |
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| 1: | ICJ - Institut Camille Jordan |
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| 2: | LIFR-MI2P - Laboratoire J.-V. Poncelet |
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| wave equation – boundary stabilization – multiplier method |
| hal-00369990, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00369990 | |
| oai:hal.archives-ouvertes.fr:hal-00369990 | |
| From: Jean-Pierre Loheac | |
| Submitted on: Tuesday, 28 April 2009 06:16:02 | |
| Updated on: Tuesday, 28 April 2009 08:15:23 | |
