Weakly elliptic damping gives sharp decay
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911804413706240 |
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| author | Paunonen, Lassi Vanspranghe, Nicolas Wang, Ruoyu P. T. |
| author_facet | Paunonen, Lassi Vanspranghe, Nicolas Wang, Ruoyu P. T. |
| contents | We prove that weakly elliptic damping gives sharp energy decay for the abstract damped wave semigroup, where the damping is not in the functional calculus. In this case, there is no overdamping. We show applications in linearised water waves and Kelvin--Voigt damping. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13067 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weakly elliptic damping gives sharp decay Paunonen, Lassi Vanspranghe, Nicolas Wang, Ruoyu P. T. Analysis of PDEs Functional Analysis 35L05, 47D06 We prove that weakly elliptic damping gives sharp energy decay for the abstract damped wave semigroup, where the damping is not in the functional calculus. In this case, there is no overdamping. We show applications in linearised water waves and Kelvin--Voigt damping. |
| title | Weakly elliptic damping gives sharp decay |
| topic | Analysis of PDEs Functional Analysis 35L05, 47D06 |
| url | https://arxiv.org/abs/2403.13067 |