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.

References in corpus (1)

• Recovering point sources for the inhomogeneous Helmholtz equation

Cited by in corpus (3)

• Imaging a moving point source from multi-frequency data measured at one and sparse observation directions (part I): far-field case
• Imaging a moving point source from multi-frequency data measured at one and sparse observation points (part II): near-field case in 3D
• Flow Measurement: An Inverse Problem Formulation