Lecture on Calder\'on problem

TL;DR

This paper presents a simplified, self-contained proof of the Calderón problem, which involves determining a conductivity inside a domain from boundary measurements, a fundamental question in inverse problems.

Contribution

The authors provide a streamlined, comprehensive proof of the Calderón problem, enhancing understanding and accessibility of this key inverse problem in mathematical physics.

Findings

Simplified proof of the Calderón problem

Clarification of boundary measurement techniques

Potential for improved computational methods

Abstract

We consider the so called Calder\'on problem which corresponds to the determination of a conductivity appearing in an elliptic equation from boundary measurements. Using several known results we propose a simplified and self contained proof of this result.