Inverse moving point source problem for the wave equation

DOI10.1088/1361-6420/ac9999zbMath1501.35452arXiv2203.07164OpenAlexW4225960510MaRDI QIDQ5044978

Faouzi Triki, Abdellatif El Badia, Hanin al Jebawy

Publication date: 3 November 2022

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.07164

zbMATH Keywords

wave equationmoving sourceinverse source problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (4)

Imaging a Moving Point Source from Multifrequency Data Measured at One and Sparse Observation Directions (Part I): Far-Field Case ⋮ Identification of an unknown spatial source function in a multidimensional hyperbolic partial differential equation with interior degeneracy ⋮ Localization of Moving Sources: Uniqueness, Stability, and Bayesian Inference ⋮ Flow Measurement: An Inverse Problem Formulation

Cites Work

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• A multi-frequency inverse source problem
• Determination of point wave sources by boundary measurements
• An algebraic reconstruction of a moving point source for a scalar wave equation
• Real-time reconstruction of time-varying point sources in a three-dimensional scalar wave equation
• An Inverse Source Problem for Maxwell's Equations in Magnetoencephalography
• Estimation of point sources and applications to inverse problems
• Stable recovery of the time-dependent source term from one measurement for the wave equation
• Determination of point wave sources by pointwise observations: stability and reconstruction
• Upper and lower estimates in determining point sources in a wave equation
• On an inverse source problem for the heat equation. Application to a pollution detection problem
• Real-time reconstruction of moving point/dipole wave sources from boundary measurements
• Recovering simultaneously a potential and a point source from Cauchy data
• Recovering point sources for the inhomogeneous Helmholtz equation ^*

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