On inverse problems arising in fractional elasticity
Analysis of PDEs
2021-09-09 v1
Abstract
We first formulate an inverse problem for a linear fractional Lam\'e system. We determine the Lam\'e parameters from exterior partial measurements of the Dirichlet-to-Neumann map. We further study an inverse obstacle problem as well as an inverse problem for a nonlinear fractional Lam\'e system. Our arguments are based on the unique continuation property for the fractional operator as well as the associated Runge approximation property.
Cite
@article{arxiv.2109.03387,
title = {On inverse problems arising in fractional elasticity},
author = {Li Li},
journal= {arXiv preprint arXiv:2109.03387},
year = {2021}
}