Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 147-160
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N. Ch. Krutitskaya; P. A. Krutitskii; G. Yu. Malysheva. On the electron plasma dynamics in the magnetized semiconductor film with the electrode placed at the arc of a circumference. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 147-160. http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a6/
@article{FPM_1996_2_1_a6,
author = {N. Ch. Krutitskaya and P. A. Krutitskii and G. Yu. Malysheva},
title = {On the electron plasma dynamics in the magnetized semiconductor film with the electrode placed at the arc of a circumference},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {147--160},
year = {1996},
volume = {2},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a6/}
}
TY - JOUR
AU - N. Ch. Krutitskaya
AU - P. A. Krutitskii
AU - G. Yu. Malysheva
TI - On the electron plasma dynamics in the magnetized semiconductor film with the electrode placed at the arc of a circumference
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1996
SP - 147
EP - 160
VL - 2
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a6/
LA - ru
ID - FPM_1996_2_1_a6
ER -
%0 Journal Article
%A N. Ch. Krutitskaya
%A P. A. Krutitskii
%A G. Yu. Malysheva
%T On the electron plasma dynamics in the magnetized semiconductor film with the electrode placed at the arc of a circumference
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1996
%P 147-160
%V 2
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a6/
%G ru
%F FPM_1996_2_1_a6
The explicit solution of the boundary value problem for harmonic functions is constructed in the exterior of a cut in a plane. The skew derivative boundary condition is specified at the cut placed along a circumference. The problem describes the dynamics of the electron plasma in the magnetized semiconductor film with the electrode placed at the arc of a circumference. The problem is solved by reduction to the Riemann–Hilbert problem for analitic complex functions. The solution of the Riemann–Hilbert problem is obtained explicitly.
