Abstract
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).
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Original Russian Text © S.E. Kholodovskii, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 7, pp. 919–926.
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Kholodovskii, S.E. Solution of boundary value problems for the Laplace equation in a ball bounded by a multilayer film. Diff Equat 53, 891–899 (2017). https://doi.org/10.1134/S0012266117070059
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DOI: https://doi.org/10.1134/S0012266117070059