Unconditional wave decay in dimension two
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912465152901120 |
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| author | Christiansen, T. J. Datchev, K. Morales, P. Yang, M. |
| author_facet | Christiansen, T. J. Datchev, K. Morales, P. Yang, M. |
| contents | We extend Burq's logarithmic decay rate [Bur98] to general compactly supported scatterers in dimension two. The main novelty is using recent results on low-frequency expansions to remove the requirement that the spectrum be regular at zero. This allows us to include, among other examples, arbitrary smooth obstacles with variable boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03140 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unconditional wave decay in dimension two Christiansen, T. J. Datchev, K. Morales, P. Yang, M. Analysis of PDEs Mathematical Physics Spectral Theory We extend Burq's logarithmic decay rate [Bur98] to general compactly supported scatterers in dimension two. The main novelty is using recent results on low-frequency expansions to remove the requirement that the spectrum be regular at zero. This allows us to include, among other examples, arbitrary smooth obstacles with variable boundary conditions. |
| title | Unconditional wave decay in dimension two |
| topic | Analysis of PDEs Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2507.03140 |