Abstract:
In this paper, in an infinite prismatic domain, one problem is formulated and studied for a parabolic-hyperbolic equation with three planes of type change. The main methods for studying the problem posed is the Fourier transform. The uniqueness and existence of a solution to the problem is proved.
Keywords:equation with three planes of type change, Fourier transform, regular solution, extremum principle, solution estimation, equation with three planes of type change, Fourier transform, regular solution, extremum principle, solution estimation.