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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.
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Preprints, Working Papers, ...
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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


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  • HAL Id : hal-03607257, version 1



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



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