Determination of point sources in vibrating plate by boundary measurements

Abstract

We consider an inverse problem of determining point sources in vibrating plate by boundary measurements. We show that the boundary observation of the domain determines uniquely the sources for an arbitrarily small time of observation and we establish a conditional stability.

Keywords:

• inverse problem
• controllability
• observability estimates

AMS Subject Classifications::

• 35R30
• 35J25

Acknowledgements

I want to thank the referees for the careful reading of the paper, their suggestions and comments. This work was supported by the PNR: Sciences Fondamentales (ANDRU) no 25/57.