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arXiv · 2605.17484

On the Stability of Inverse Conductivity Problem for Polyhedral Inclusions under a Single Measurement

Chun-Hsiang Tsou
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Abstract

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.

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Chun-Hsiang Tsou. 2026-07-01. On the Stability of Inverse Conductivity Problem for Polyhedral Inclusions under a Single Measurement. https://arxiv.org/abs/2605.17484

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