An inverse wave source problem

This Note is concerned with an inverse point wave source problem in a bounded domain Omega from boundary observations. Assuming that all point sources vanish after a certain time T-1, we first prove an identifiability result provided that some condition is satisfied between the time T-1, the observation time T and the observation domain on the boundary. This condition is reduced to the inequality T > T-1 + diam(Omega) when the observation domain is the whole boundary of Omega. In this case, we propose an algebraic method to identify, the point sour ces completely. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.