Uniqueness in determining a convex polygonal source of an elastic body
Analysis of PDEs
2025-06-04 v1
Abstract
In this work, we consider the time-harmonic inverse elastic source problem of a fixed frequency for the Navier equation in two dimensions. We show that a convex polygon can be uniquely determined by a single far field measurement. Our approach relies on the corner singularity analysis of solutions to the inhomogeneous Navier equation with a source term in a sector. This paper also contributes to corner scattering theory for the Navier equation in an non-convex domain.
Keywords
Cite
@article{arxiv.2506.02870,
title = {Uniqueness in determining a convex polygonal source of an elastic body},
author = {Jianli Xiang},
journal= {arXiv preprint arXiv:2506.02870},
year = {2025}
}