2010/05/03 by Marianne Chapouly, Mazyar Mirrahimi, Chapouly, Marianne +1
Engineering · Mathematics · #35L20 #35R30 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations #Ultrasonics and Acoustic Wave Propagation #math.AP #math.OC #msc:35L20 #msc:35R30
paper · pdf · doi:10.48550/arxiv.1005.0298
6 pages, 3 figures, MTNS 2010
arxiv created 2010/05/03 · openalex publication_date 2010/05/03 · arxiv updated 2010/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we consider a wave equation on a bounded interval where the initial conditions are known (are zero) and we are rather interested in identifying an unknown source term q(x) thanks to the measurement output y which is the Neumann derivative on one of the boundaries. We use a back-and-forth iterative procedure and construct well-chosen observers which allow to retrieve q from y in the minimal observation time.