English

Stable determination of a Lam\'e coefficient by one internal measurement of displacement

Analysis of PDEs 2020-12-29 v1

Abstract

In this paper we show that the shear modulus μ\mu of an isotropic elastic body can be stably recovered by the knowledge of one single displacement field whose boundary data can be assigned independently of the unknown elasticity tensor.

Keywords

Cite

@article{arxiv.1702.01775,
  title  = {Stable determination of a Lam\'e coefficient by one internal measurement of displacement},
  author = {Giuseppe Di Fazio and Elisa Francini and Fabio Raciti and Sergio Vessella},
  journal= {arXiv preprint arXiv:1702.01775},
  year   = {2020}
}