Electron. J. Diff. Eqns., Vol. 2004(2004), No. 20, pp. 1-17.

Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results

Serge Nicaise & Ouahiba Zair

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.

Submitted September 5, 2003. Published February 11, 2004.
Math Subject Classifications: 35R30, 35J25.
Key Words: Inverse problems, beam equations.

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Serge Nicaise
Universite de Valenciennes et du Hainaut Cambresis
MACS, ISTV, F-59313 - Valenciennes Cedex 9, France
email: snicaise@univ-valenciennes.fr
Ouahiba Zair
Universite des Sciences et de la Technologie H. Boumediene
Institut de Mathematiques
El-Alia, B.P. 32, Bab Ezzouar, Alger - Algeria
email: zair_usthb@yahoo.fr

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