The authors consider the inverse problem of determining a rigid inclusion inside an isotropic elastic body \(\Omega\), from a single measurement of traction and displacement taken on the boundary of \(\Omega\). For this severely ill-posed problem they prove uniqueness and a conditional stability estimate of log-log type.

Table of Contents

• Introduction
• Main results
• Proof of the uniqueness result
• Proof of the stability result
• Proof of Proposition 4.1
• Stability estimates of continuation from Cauchy data
• Proof of Proposition 4.2 in the 3-D case
• A related inverse problem in electrostatics
• Bibliography