**Gen Nakamura
Hokkaido University, Japan**

*Date:* September 28, 2005

For a one space dimensional heat conductive medium with a time
dependent unknown inclusion, we have developed a reconstruction
procedure of the probe type method from the Neumann to Dirichlet map
as a measurement. Most of the argument holds for higher space
dimensions except the analysis of the behavior of the so called
reflected solution which becomes very tedious for the higher space
dimensional case. This problem originated from the study by
Prof. V. Isakov et. al about the uniqueness of the identification not
only for one space dimension. As for the associated reconstruction
problem, as far as I know, this is the first attempt.