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 |
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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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