| Abstract: | We consider the inverse problem of simultaneously determining two time-dependent thermophysical characteristics—the coefficient
of thermal conductivity and the heat capacity per unit volume—for a body having the shape of a layer situated between two
other layers with known thermophysical characteristics. The necessary measurements are carried out on their outside boundaries.
The problem is reduced to a system of nonlinear equations for which the existence of a solution is established by using Schauder's
fixed-point theorem. We find conditions that guarantee that the solution of the inverse problem is unique.
Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 2, 1997, pp. 153–159. |
