Lipschitz Stability in the Simultaneous Determination of Polygonal Inclusions and Constant Conductivities

TL;DR

This paper proves a Lipschitz stability result for simultaneously determining unknown polygonal inclusions and their constant conductivities from boundary measurements in an inverse boundary value problem.

Contribution

It introduces a novel Lipschitz stability estimate for the joint reconstruction of polygonal inclusions and conductivities from boundary data.

Findings

Established Lipschitz stability for the inverse problem

Provided a quantitative estimate linking boundary data and inclusion parameters

Enhanced understanding of stability in inverse conductivity problems

Abstract

This work establishes a Lipschitz stability result for identifying unknown polygonal inclusions along with their unknown constant conductivity values, given boundary measurements encoded in the Dirichlet-to-Neumann map.