Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results
Date
2004-02-11
Authors
Nicaise, Serge
Zair, Ouahiba
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We consider two inverse problems of determining point sources in vibrating beams by boundary measurements. We show that the boundary observation at one extremity of the domain determines uniquely the sources for an arbitrarily small time of observation. We further establish conditional stability results and give reconstructing schemes.
Description
Keywords
Inverse problems, Beam equations
Citation
Nicaise, S., & Zair, O. (2004). Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results. <i>Electronic Journal of Differential Equations, 2004</i>(20), pp. 1-17.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.