English

Determination of an anisotropic perturbation in elastic inverse scattering

Analysis of PDEs 2026-05-01 v1

Abstract

We consider a linearized inverse scattering problem for elastic waves. We prove that a fully anisotropic perturbation of the elastic parameters around an isotropic and homogeneous reference can be uniquely determined by (single-)scattered waves. We also give a quantitative stability estimate for an isotropic perturbation, and as a consequence a rigidity result is established.

Keywords

Cite

@article{arxiv.2604.27390,
  title  = {Determination of an anisotropic perturbation in elastic inverse scattering},
  author = {Matti Lassas and Shiqi Ma and Lauri Oksanen and Mikko Salo and Jian Zhai},
  journal= {arXiv preprint arXiv:2604.27390},
  year   = {2026}
}