# Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain

## TL;DR

This paper proves that it is possible to uniquely determine the elastic tensor and mass density in a piecewise homogeneous anisotropic elastic medium from localized boundary measurements in the time domain, even with complex domain interfaces.

## Contribution

It establishes the first uniqueness result for recovering piecewise homogeneous anisotropic elastic parameters from localized boundary data in the time domain.

## Key findings

- Uniqueness of elastic tensor and density recovery from boundary data.
- Applicable to domains with curved interfaces.
- Works in the space-time domain for anisotropic elasticity.

## Abstract

We consider the inverse boundary value problem of recovering piecewise homogeneous elastic tensor and piecewise homogeneous mass density from a localized lateral Dirichlet-to-Neumann or Neumann-to-Dirichlet map for the elasticity equation in the space-time domain. We derive uniqueness for identifying these tensor and density on all domains of homogeneity that may be reached from the part of the boundary where the measurements are taken by a chain of subdomains whose successive interfaces contain a curved portion.