On scattering behavior of corner domains with anisotropic inhomogeneities
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913421478330368 |
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| author | Kow, Pu-Zhao Salo, Mikko Shahgholian, Henrik |
| author_facet | Kow, Pu-Zhao Salo, Mikko Shahgholian, Henrik |
| contents | This paper investigates the possible scattering and non-scattering behavior of an anisotropic and inhomogeneous Lipschitz medium at a fixed wave number and with a single incident field. We connect the anisotropic non-scattering problem to a Bernoulli type free boundary problem. By invoking methods from the theory of free boundaries, we show that an anisotropic medium with Lipschitz but not $C^{1,α}$ boundary scatters every incident wave that satisfies a non-degeneracy condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_11213 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On scattering behavior of corner domains with anisotropic inhomogeneities Kow, Pu-Zhao Salo, Mikko Shahgholian, Henrik Analysis of PDEs 35J15, 35P25, 35R35 This paper investigates the possible scattering and non-scattering behavior of an anisotropic and inhomogeneous Lipschitz medium at a fixed wave number and with a single incident field. We connect the anisotropic non-scattering problem to a Bernoulli type free boundary problem. By invoking methods from the theory of free boundaries, we show that an anisotropic medium with Lipschitz but not $C^{1,α}$ boundary scatters every incident wave that satisfies a non-degeneracy condition. |
| title | On scattering behavior of corner domains with anisotropic inhomogeneities |
| topic | Analysis of PDEs 35J15, 35P25, 35R35 |
| url | https://arxiv.org/abs/2309.11213 |