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On multilayer films on the boundary of a half-space

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Abstract

Generalized boundary conditions on multilayer films bounding a half-space and consisting of alternating infinitely thin strongly and weakly permeable layers are derived. The solution of the problem for the Laplace equation in a half-plane D bounded by a three-layer film is expressed in simple quadratures in terms of the solution of the classical Dirichlet problem in D without a film.

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Authors and Affiliations

  1. Transbaikal State University, Chita, Russia

    S. E. Kholodovskii

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  1. S. E. Kholodovskii
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Correspondence to S. E. Kholodovskii.

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Original Russian Text © S. E. Kholodovskii, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 3, pp. 421–427.

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Kholodovskii, S.E. On multilayer films on the boundary of a half-space. Math Notes 99, 426–431 (2016). https://doi.org/10.1134/S0001434616030123

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  • DOI: https://doi.org/10.1134/S0001434616030123

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