Inverse moving point source problem for the wave equation. (1st December 2022)

• Record Type: Journal Article
• Authors: Al Jebawy, Hanin; Elbadia, Abdellatif; Triki, Faouzi
• Is Part Of: Inverse problems. Volume 38:Number 12(2022)
• Publication Date: 2022-12-01
• Subjects: inverse source problem -- moving source -- wave equation; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/ac9999
• Languages: English
• ISSNs: 0266-5611

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.