Mathematical Model in the Form of a Loaded Second-Order Parabolic-Hyperbolic Equation with a Singular Coefficient

Abstract

In this work we prove the unique solvability of the boundary value problem for a mixed second-order parabolic-hyperbolic equation. The solubility of this problem is reduced to Cauchy problem in the hyperbolic problem and to Goursat problem in the parabolic part of the domain of the given equations.