Over-Determined Boundary Value Problem Method in the Theory of Mixed Problems for Acoustic Equations in Spherical Regions

Abstract

The over-determined boundary value problem method is extended to solve some mixed problems for acoustic equations in spherical coordinates. The solvability conditions of auxiliary overdetermined problems for the coordinate regions are obtained. These conditions are used to move from initial mixed boundary value problems to dual series equations of the standard form and then to infinite sets of linear algebraic equations.