Geodesic
On Multilayer Films on the Boundary of a Half-Space
Matematičeskie zametki, Tome 99 (2016) no. 3, pp. 421-427

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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.
Mots-clés : Laplace equation
Keywords: multilayer film, three-layer film, Dirichlet problem. 
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     author = {S. E. Kholodovskii},
     title = {On {Multilayer} {Films} on the {Boundary} of a {Half-Space}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {421--427},
     publisher = {mathdoc},
     volume = {99},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_3_a11/}
}
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S. E. Kholodovskii. On Multilayer Films on the Boundary of a Half-Space. Matematičeskie zametki, Tome 99 (2016) no. 3, pp. 421-427. http://geodesic.mathdoc.fr/item/MZM_2016_99_3_a11/