An inverse Signorini obstacle problem
Analysis of PDEs
2025-03-26 v1
Abstract
We study the inverse problem of determining a Signorini obstacle from boundary measurements for the isotropic elasticity system. We prove that the obstacle can be uniquely determined by a single measurement of displacement and normal stress for the Signorini problem on an open subset of the boundary up to a natural obstruction. In addition to considering the Signorini problem, we develop techniques that can be used to study inverse problems for general differential inequalities.
Cite
@article{arxiv.2503.19610,
title = {An inverse Signorini obstacle problem},
author = {Maarten V. de Hoop and Matti Lassas and Jinpeng Lu and Lauri Oksanen and Ziyao Zhao},
journal= {arXiv preprint arXiv:2503.19610},
year = {2025}
}