The paper reviews the works appeared during the interaction of the author with the department headed by Igor Mikhajlovich Dmitrenko in period of time from 1975 till 1992 years. Within the framework of kinetic equations for the phonon and electron distribution functions are considered the hot electrons at low temperatures in metal films deposited on dielectric substrates with high thermal conductivity. The brief analysis of main results about the hot electrons in a superconducting films, the heat removal problem from a sample, the form of the hot electron distribution function for the case when the conditions of thermalization are not satisfied, the size effect in the heat removal from metal films, the tunneling of the hot electrons, and generalization of the presented results on the metals with arbitrary dispersion laws of electrons and phonons in terms of the spectral functions of Eliashberg.
PACS: 73.40.Gk Tunneling; PACS: 73.50.–h Electronic transport phenomena in thin films.
Key words: metal films, DC heating, electron-phonon kinetics.