On the Definitions of Boundary Values of Generalized Solutions to an Elliptic-Type Equation

An elliptic-type equation with variable coefficients is considered. An overview is given of the definitions of boundary values of generalized solutions to this equation. Conditions for the existence of boundary values as well as conditions for the existence and uniqueness of solutions to the corresponding Dirichlet problem are analyzed. © 2018, Pleiades Publishing, Ltd.