On a boundary condition of Bitsadze-Samarskii for the Lavrent'ev-Bitsadze equation

摘要

In this paper, using the boundary conditions of the Newton potential, the wave potential and surface wave potentials in the mixed region D {is contained in} R~2 the Bitsadze-Samarskii boundary condition for the Lavrent'ev-Bitsadze equation is studied. Theorem on existence and uniqueness of the solution of the considered problem is proved by method of the theory of potential.