A Partial Data Problem in Linear Elasticity

TL;DR

This paper investigates the inverse problem of determining elastic material parameters from boundary measurements, extending previous results to partial data scenarios and infinite cylinders, advancing the understanding of elastic inverse problems.

Contribution

It combines prior inverse results and generalizes them to partial boundary data and infinite cylinders in linear elasticity.

Findings

Proves inverse results with partial boundary data.

Extends inverse results to infinite cylindrical domains.

Provides theoretical foundations for elastic parameter recovery.

Abstract

We discuss the determination of the Lam\'e parameters of an elastic material by the means of boundary measurements. We will combine previous results of Eskin-Ralston and Isakov to prove inverse results in the case of bounded domains with partial data. Moreover, we generalise these results to infinite cylinders.