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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2409.06260 |
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| _version_ | 1866914946120417280 |
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| author | Baudouin, L Imba, A Mercado, A Osses, A |
| author_facet | Baudouin, L Imba, A Mercado, A Osses, A |
| contents | This article studies an inverse problem for a transmission wave equation, a system where the main coefficient has a variable jump across an internal interface given by the boundary between two subdomains. The main result obtains Lipschitz stability in recovering a zeroth-order coefficient in the equation. The proof is based on the Bukhgeim-Klibanov method and uses a new one-parameter global Carleman inequality, specifically constructed for the case of a variable main coefficient which is discontinuous across a strictly convex interface. In particular, our hypothesis allows the main coefficient to vary smoothly within each subdomain up to the interface, thereby extending the preceding literature on the subject. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06260 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lipschitz Stability of an Inverse Problem of Transmission Waves with Variable Jumps Baudouin, L Imba, A Mercado, A Osses, A Analysis of PDEs This article studies an inverse problem for a transmission wave equation, a system where the main coefficient has a variable jump across an internal interface given by the boundary between two subdomains. The main result obtains Lipschitz stability in recovering a zeroth-order coefficient in the equation. The proof is based on the Bukhgeim-Klibanov method and uses a new one-parameter global Carleman inequality, specifically constructed for the case of a variable main coefficient which is discontinuous across a strictly convex interface. In particular, our hypothesis allows the main coefficient to vary smoothly within each subdomain up to the interface, thereby extending the preceding literature on the subject. |
| title | Lipschitz Stability of an Inverse Problem of Transmission Waves with Variable Jumps |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2409.06260 |