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A probe method for the inverse boundary value problem of non-stationary heat equations

An inverse problem for identifying an inclusion inside an isotropic homogeneous heat conductive medium is considered. The shape of the inclusion may vary depending on time. For the one space dimensional case, we develop an analogue of the probe method known for inverse boundary value problems for elliptic equations and give a reconstruction procedure for identifying the inclusion from the Neumann to Dirichlet map.