On Mixed Boundary Value Problems for Sets of Partial Differential Equations with Constant Coefficients in Semi-Spaces

Abstract

© 2018, Pleiades Publishing, Ltd. The solvability conditions of the over-determined boundary value problems for the set of PDE with constant coefficients in semi-spaces are obtained. The equations for complex amplitudes of the wave fields are considered as examples. The method of over-determined boundary value problem is used to obtain the boundary integral equation for the mixed boundary value problems.