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.

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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.
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     title = {On the electron plasma dynamics in the magnetized semiconductor film with the electrode placed at the arc of a circumference},
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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/