Stability estimates for an inverse boundary value problem for biharmonic operators with first order perturbation from partial data
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929331044876288 |
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| author | Liu, Boya |
| author_facet | Liu, Boya |
| contents | In this paper we study an inverse boundary value problem for the biharmonic operator with first order perturbation. Our geometric setting is that of a bounded simply connected domain in the Euclidean space of dimension three or higher. Assuming that the inaccessible portion of the boundary is flat, and we have knowledge of the Dirichlet-to-Neumann map on the complement, we prove logarithmic type stability estimates for both the first and the zeroth order perturbation of the biharmonic operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09546 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability estimates for an inverse boundary value problem for biharmonic operators with first order perturbation from partial data Liu, Boya Analysis of PDEs 35R30, 35J40 In this paper we study an inverse boundary value problem for the biharmonic operator with first order perturbation. Our geometric setting is that of a bounded simply connected domain in the Euclidean space of dimension three or higher. Assuming that the inaccessible portion of the boundary is flat, and we have knowledge of the Dirichlet-to-Neumann map on the complement, we prove logarithmic type stability estimates for both the first and the zeroth order perturbation of the biharmonic operator. |
| title | Stability estimates for an inverse boundary value problem for biharmonic operators with first order perturbation from partial data |
| topic | Analysis of PDEs 35R30, 35J40 |
| url | https://arxiv.org/abs/2311.09546 |