Stable determination of the first order perturbation of the biharmonic operator from partial data
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909659436154880 |
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| author | Liu, Boya Selim, Salem |
| author_facet | Liu, Boya Selim, Salem |
| contents | We consider an inverse boundary value problem for the biharmonic operator with the first order perturbation in a bounded domain of dimension three or higher. Assuming that the first and the zeroth order perturbations are known in a neighborhood of the boundary, we establish log-type stability estimates for these perturbations from a partial Dirichlet-to-Neumann map. Specifically, measurements are taken only on an arbitrarily small open subsets of the boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07434 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stable determination of the first order perturbation of the biharmonic operator from partial data Liu, Boya Selim, Salem Analysis of PDEs 35R30, 35J40 We consider an inverse boundary value problem for the biharmonic operator with the first order perturbation in a bounded domain of dimension three or higher. Assuming that the first and the zeroth order perturbations are known in a neighborhood of the boundary, we establish log-type stability estimates for these perturbations from a partial Dirichlet-to-Neumann map. Specifically, measurements are taken only on an arbitrarily small open subsets of the boundary. |
| title | Stable determination of the first order perturbation of the biharmonic operator from partial data |
| topic | Analysis of PDEs 35R30, 35J40 |
| url | https://arxiv.org/abs/2411.07434 |