Stable determination of a rigid scatterer in elastodynamics

TL;DR

This paper establishes a local stability estimate for identifying a rigid scatterer in elastodynamics using a single far-field measurement, with implications for inverse scattering problems.

Contribution

It provides the first stability estimate of log log type for shape determination of rigid scatterers in elastodynamics with a single measurement.

Findings

Proves a local stability estimate of log log type.

Uses Friedrichs inequality to estimate a priori conditions.

Applicable to inverse elastic scattering problems.

Abstract

We deal with an inverse elastic scattering problem for the shape determination of a rigid scatterer in the time-harmonic regime. We prove a local stability estimate of log log type for the identification of a scatterer by a single far-field measurement. The needed a priori condition on the closeness of the scatterers is estimated by the universal constant appearing in the Friedrichs inequality.