English

On uniqueness of elastic scattering from a cavity

Analysis of PDEs 2023-02-28 v1

Abstract

The paper considers direct and inverse elastic scattering from a cavity in homogeneous medium with Dirichlet and Neumann boundary conditions. For direct scattering, existence and uniqueness are derived by variation approach. For inverse scattering, Freˊ\acute{\rm e}chet derivatives of the solution operators are investigated, which give local stability for Dirichlet case.

Keywords

Cite

@article{arxiv.2302.12962,
  title  = {On uniqueness of elastic scattering from a cavity},
  author = {Tianjiao Wang and Yiwen Lin and Xiang Xu},
  journal= {arXiv preprint arXiv:2302.12962},
  year   = {2023}
}