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OALib Journal期刊
ISSN: 2333-9721
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Determination of point sources in vibrating beams by boundary measurements: Identifiability, stability, and reconstruction results

Keywords: Inverse problems , beam equations.

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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.

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