The uniqueness of a solution to an inverse nonlinear heat conduction problem

A quasilinear parabolic equation describing thermal processes associated with a moving medium in a porous body is considered. It is pointed out that the coefficients of the equation cannot be determined experimentally for high-intensity processes, and the inverse problem of determining these coefficients from the available information on the temperature field is formulated. The uniqueness of the determinations of the two coefficients of the quasilinear equation from additional boundary conditions is demonstrated.