Geodesic
Solution of boundary-value problems with generalized transmission conditions of the type of a~crack or a~screen
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2011), pp. 100-106

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We obtain formulas for solutions of boundary-value problems similar to classical ones in cylindrical domains under additional generalized transmission conditions of the type of a strongly permeable crack or a weakly permeable screen. The obtained solutions are operations that affect the known function only in one variable. By a composition of the mentioned operators we solve boundary-value problems with generalized transmission conditions on intersecting surfaces.
Keywords: boundary-value problems, cracks, screens, method of convolution of Fourier expansions. 
@article{IVM_2011_6_a11,
     author = {S. E. Kholodovskii and N. N. Shadrina},
     title = {Solution of boundary-value problems with generalized transmission conditions of the type of a~crack or a~screen},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {100--106},
     publisher = {mathdoc},
     number = {6},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_6_a11/}
}
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S. E. Kholodovskii; N. N. Shadrina. Solution of boundary-value problems with generalized transmission conditions of the type of a~crack or a~screen. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2011), pp. 100-106. http://geodesic.mathdoc.fr/item/IVM_2011_6_a11/