On the Stability of Inverse Conductivity Problem for Polyhedral Inclusions under a Single Measurement
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866916020864679936 |
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| author | Tsou, Chun-Hsiang |
| author_facet | Tsou, Chun-Hsiang |
| contents | In this paper, we study the stability of the inverse conductivity problem of determining a convex polyhedral inclusion embedded in a homogeneous isotropic medium from a single boundary measurement. The main tools in our analysis are singularity decomposition for elliptic equations in non-smooth domains, propagation of smallness, and microlocal analysis. Combining these tools, we establish a logarithmic stability estimate for the Hausdorff distance between inclusions in terms of the measurement error. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_17484 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Stability of Inverse Conductivity Problem for Polyhedral Inclusions under a Single Measurement Tsou, Chun-Hsiang Analysis of PDEs In this paper, we study the stability of the inverse conductivity problem of determining a convex polyhedral inclusion embedded in a homogeneous isotropic medium from a single boundary measurement. The main tools in our analysis are singularity decomposition for elliptic equations in non-smooth domains, propagation of smallness, and microlocal analysis. Combining these tools, we establish a logarithmic stability estimate for the Hausdorff distance between inclusions in terms of the measurement error. |
| title | On the Stability of Inverse Conductivity Problem for Polyhedral Inclusions under a Single Measurement |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2605.17484 |