Reconstruction of thin conductivity imperfections, II. The case of multiple segments

Abstract

We consider the case of a uniform plane conductor containing multiple inhomogeneities that can be represented as neighborhoods of segments. In this article we prove the Lipschitz continuous dependence of the segments from one boundary measurement of the steady state voltage potential.

Keywords:

• Thin conductivity inhomogeneities
• Uniqueness
• Stability

Keywords:

• AMS Subject Classification: 35R30