On the uniqueness in one of the coefficient problems relating to technological processes

Consideration is given to a problem relating to technological treatment of a blank whose structure is nonhomogeneous in the transverse direction, which manifests itself in the dependence of the diffusion (or thermal conductivity) coefficient on the transverse coordinate. The uniqueness of the determination of this coefficient from the given concentration (or temperature) profile at an instant close to the end of the process is proved.