Geodesic
Solution of boundary value problems in cylinders with a two-layer film inclusion
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 3, pp. 98-102

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We consider a class of boundary value problems (elliptic, parabolic and hyperbolic equations) in cylinders, separated by double-layer film on two half cylinder. The film consists of infinitely thin strongly and weakly permeable layers. A theorem of existence and uniqueness. Formulas expressing the solutions to these problems through the solutions of the analogous classical problems in homogeneous cylinders without film are derived.
Keywords: boundary value problems, generalized transmission conditions, the inclusion of a two-layer film, the method of convolution of Fourier expansions. 
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     author = {S. E. Kholodovskii},
     title = {Solution of boundary value problems in cylinders with a two-layer film inclusion},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {98--102},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2016_16_3_a8/}
}
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S. E. Kholodovskii. Solution of boundary value problems in cylinders with a two-layer film inclusion. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 16 (2016) no. 3, pp. 98-102. http://geodesic.mathdoc.fr/item/VNGU_2016_16_3_a8/