English

Stable determination of a rigid scatterer in elastodynamics

Analysis of PDEs 2025-01-22 v2

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.

Keywords

Cite

@article{arxiv.2007.06864,
  title  = {Stable determination of a rigid scatterer in elastodynamics},
  author = {Luca Rondi and Eva Sincich and Mourad SIni},
  journal= {arXiv preprint arXiv:2007.06864},
  year   = {2025}
}

Comments

33 pages, 2 figures

R2 v1 2026-06-23T17:06:02.673Z