Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Inverse moving point source problem for the wave equation

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03607257
Contributor : Hanin AL Jebawy Connect in order to contact the contributor
Submitted on : Sunday, March 13, 2022 - 1:35:44 PM
Last modification on : Sunday, April 24, 2022 - 4:16:02 PM

File

InverseSourceproblem.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03607257, version 1

Collections

Citation

Hanin Al Jebawy, Abdellatif El Badia, Faouzi Triki. Inverse moving point source problem for the wave equation. 2022. ⟨hal-03607257⟩

Share

Metrics

Record views

57

Files downloads

11