# Global Lipschitz stability estimates for polygonal conductivity inclusions from boundary measurements

## TL;DR

This paper establishes Lipschitz stability estimates for identifying polygonal conductivity inclusions within a domain using boundary measurements, enhancing the understanding of inverse boundary value problems.

## Contribution

It provides the first Lipschitz stability estimates for polygonal inclusions based on boundary data, improving the theoretical framework for inverse conductivity problems.

## Key findings

- Lipschitz stability estimates derived for polygonal inclusions
- Quantitative relation between boundary measurements and inclusion shape
- Enhanced stability results for inverse conductivity problems

## Abstract

We derive Lipschitz stability estimates for the Hausdorff distance of polygonal conductivity inclusions in terms of the Dirichlet-to-Neumann map.