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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2502.12287 |
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| _version_ | 1866916618922098688 |
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| author | Cheng, Xiaopeng Rüland, Angkana |
| author_facet | Cheng, Xiaopeng Rüland, Angkana |
| contents | In this article, we provide a boundary reconstruction result for the anisotropic fractional Calderón problem and its associated degenerate elliptic extension into the upper half plane. More precisely, considering the setting from \cite{FGKU21}, we show that the metric on the measurement set can be reconstructed from the source-to-solution data. To this end, we rely on the approach by Brown \cite{B01} in the framework developed in \cite{NT01} (see also \cite{KY02}) after localizing the problem by considering it through an extension perspective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12287 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundary Reconstruction for the Anisotropic Fractional Calderón Problem Cheng, Xiaopeng Rüland, Angkana Analysis of PDEs In this article, we provide a boundary reconstruction result for the anisotropic fractional Calderón problem and its associated degenerate elliptic extension into the upper half plane. More precisely, considering the setting from \cite{FGKU21}, we show that the metric on the measurement set can be reconstructed from the source-to-solution data. To this end, we rely on the approach by Brown \cite{B01} in the framework developed in \cite{NT01} (see also \cite{KY02}) after localizing the problem by considering it through an extension perspective. |
| title | Boundary Reconstruction for the Anisotropic Fractional Calderón Problem |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2502.12287 |