Inverse problems of determining thermophysical and mass transfer parameters

We consider inverse problems of determination together with the solution of unknown functions included in a parabolic equation or boundary condition. In particular, the unknown functions are thermal conductivity, heat capacity, flow, or heat transfer coefficient. Unknown coefficients are searched for as finite segments of a series with unknown time-dependent Fourier coefficients. Additional information includes the values of the solution at individual points in the spatial domain, or integrals of the solution with a weight along the boundary or region.