On the Stability of Inverse Conductivity Problem for Polyhedral Inclusions under a Single Measurement
Analysis of PDEs
2026-05-19 v1
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.
Keywords
Cite
@article{arxiv.2605.17484,
title = {On the Stability of Inverse Conductivity Problem for Polyhedral Inclusions under a Single Measurement},
author = {Chun-Hsiang Tsou},
journal= {arXiv preprint arXiv:2605.17484},
year = {2026}
}
Comments
22 pages, 3 figures