Inverse moving point source problem for the wave equation
Analysis of PDEs
2022-11-09 v1
Abstract
In this paper, we consider the problem of identifying a single moving point source for a three-dimensional wave equation from boundary measurements. Precisely, we show that the knowledge of the field generated by the source at six different points of the boundary over a finite time interval is sufficient to determine uniquely its trajectory. We also derive a Lipschitz stability estimate for the inversion.
Keywords
Cite
@article{arxiv.2203.07164,
title = {Inverse moving point source problem for the wave equation},
author = {Hanin Al Jebawy and Abdellatif El Badia and Faouzi Triki},
journal= {arXiv preprint arXiv:2203.07164},
year = {2022}
}