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
Voir la notice du chapitre de livre provenant de la source Math-Net.Ru
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.
@article{UZKU_2013_155_2_a9,
author = {I. G. Salekhova and M. M. Yakhina},
title = {A {Mixed} {Problem} for a {Plane} with {Rectilinear} {Cuts}},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {108--122},
publisher = {mathdoc},
volume = {155},
number = {2},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a9/}
}
TY - JOUR AU - I. G. Salekhova AU - M. M. Yakhina TI - A Mixed Problem for a Plane with Rectilinear Cuts JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2013 SP - 108 EP - 122 VL - 155 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZKU_2013_155_2_a9/ LA - ru ID - UZKU_2013_155_2_a9 ER -
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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/