Geodesic
A Mixed Problem for a Plane with Rectilinear Cuts
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 2, pp. 108-122 Cet article a éte moissonné depuis la source Math-Net.Ru

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We solve a mixed problem for a plane $u^{+}(t)=f^{+}(t)$, $v^{-}(t)=g^{-}(t)$, $t\in L$, where $L$ is the union of a finite or denumerable set of segments (including those arranged periodically) with an accumulation point at infinity. For a denumerable set of segments, the problem is solved by the reduction to the corresponding Riemann problem in the case of a denumerable set of circuits, including those arranged periodically.
Keywords: mixed problem for a plane, Riemann problem, singly periodic arrangement of segments, singly periodic function, doubly periodic arrangement of segments, elliptic function, quasi-elliptic function. 
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I. G. Salekhova; M. M. Yakhina. A Mixed Problem for a Plane with Rectilinear Cuts. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 2, pp. 108-122. http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a9/

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