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| HAL: hal-00348327, version 2 |
| arXiv: 0812.3637 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2008-12-18) | v2 (2010-05-31) | v3 (2010-06-02) |
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| Exponential decay for solutions to semilinear damped wave equation |
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Stéphane Gerbi 1Belkacem Said-Houari 2 |
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| (2008-12-18) |
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| This paper is concerned with decay estimate of solutions to the semilinear wave equation with strong damping in a bounded domain. Introducing an appropriate Lyaponuv function, we prove that when the damping is linear, we can find initial data, for which the solution decays exponentially. This result improves an early one in an article of Gazzola and Squassina. |
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| 1: | Laboratoire de Mathématiques (LAMA) |
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CNRS : UMR5127 – Université de Savoie |
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| 2: | Laboratoire de Mathématiques Appliquées, Université Badji Mokhtar |
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Université Badji Mokhtar |
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| Subject | : | Mathematics/Analysis of PDEs |
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| hal-00348327, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00348327 | |
| oai:hal.archives-ouvertes.fr:hal-00348327 | |
| From: Stéphane Gerbi | |
| Submitted on: Wednesday, 7 April 2010 11:44:03 | |
| Updated on: Monday, 31 May 2010 11:03:27 | |
