Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity
Analysis of PDEs
2019-01-08 v2
Abstract
We consider a linearized inverse boundary value problem for the elasticity system. From the linearized Dirichlet-to-Neumann map at zero frequency, we show that a transversely isotropic perturbation of a homogeneous isotropic elastic tensor can be uniquely determined. From the linearized Dirichlet-to-Neumann map at two distinct positive frequencies, we show that a transversely isotropic perturbation of a homogeneous isotropic density can be identified at the same time.
Keywords
Cite
@article{arxiv.1808.01505,
title = {Unique determination of a transversely isotropic perturbation in a linearized inverse boundary value problem for elasticity},
author = {Yang Yang and Jian Zhai},
journal= {arXiv preprint arXiv:1808.01505},
year = {2019}
}