Inverse moving point source problem for the wave equation-Reference-Cited by-同舟云学术

Inverse moving point source problem for the wave equation

Published:2022-10-28 Issue:12 Volume:38 Page:125003
ISSN:0266-5611
Container-title:Inverse Problems
language:
Short-container-title:Inverse Problems

Author:

Al Jebawy Hanin^ORCID,Elbadia Abdellatif^ORCID,Triki Faouzi^ORCID

Abstract

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.

Funder

Agence Nationale de la Recherche-projet Multi-Onde

Publisher

IOP Publishing

Subject

Applied Mathematics,Computer Science Applications,Mathematical Physics,Signal Processing,Theoretical Computer Science

Link

https://iopscience.iop.org/article/10.1088/1361-6420/ac9999/pdf

Reference16 articles.

1. An inverse source problem for Maxwell’s equations in magnetoencephalography;Ammari;SIAM J. Appl. Math.,2002

2. A multi-frequency inverse source problem;Bao;J. Differ. Equ.,2010

3. Numerical solution of the inverse source problem for the Helmholtz equation with multiple frequency data;Bao;Contemp. Math,2011