On Some Coefficient Inverse Problems of Identification of Thermophysical Parameters in Stratified Media

This article addresses the regular solvability in Sobolev spaces of parabolic coefficient inverse problems in stratified media with diffraction-type transmission conditions. The solution posseses all generalized derivatives occurring in the equation summable with some power. The overdetermination conditions are integrals of a solution over the spatial domain with weight. The proof is based on a priori estimates and the fixed point theorem.