Rigidity of homogeneous Lamé systems
Abstract
Abstract In this short paper, we show that any Lamé system whose Dirichlet-to-Neumann map for the elastic wave equation agrees with the one arising from the homogeneous Lamé system must actually be homogeneous. We do not need to impose any assumptions on the Lamé coefficients that we aim to recover. We use the fact that the homogeneous system gives rise to a geometry that is simple and admits a strictly convex foliation.
Fields of Study & Subjects
Numerical methods in inverse problems
Seismic Imaging and Inversion Techniques
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Journal of Inverse and Ill-Posed Problems
- Publication date
- 23 October 2026
- Language
- EN