Investigating the Solvability of the Three-Dimensional Neumann Problem for the Poisson Equation in Piecewise-Homogeneous Conducting Media

Resumo

The inner Neumann problem for the Poisson equation in a region filled with a piecewise-homogeneous conducting medium is reduced to a system of boundary integral equations. The conjugate system is constructed; the solvability conditions are derived for the boundary-value problem.