We derive boundary conditions on multilayer films bounding a ball and consisting of infinitely thin strongly and weakly permeable layers and obtain formulas expressing the solutions of boundary value problems for the Laplace equation in a ball bounded with two-layer films by single quadratures via the solutions of the classical Dirichlet and Neumann problems for the Laplace equation in the ball (without the films).
Differential Equations – Springer Journals
Published: Aug 23, 2017
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