Geodesic
The flow of electric current from rectilinear electrodes in a magnetized semiconductor film
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1689-1701

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An explicit solution of the boundary value problem with a skew derivative in the boundary condition describing the flow of electric current from a system of rectilinear electrodes, sealed into a semiconductor film, placed in a constant magnetic field, is given. The cases of closed and open systems (when there are current sources at infinity) are considered. The features of the electric field in the region of the ends of the electrodes are investigated. It is shown that the formulation of the problem does not change when the system of coordinates is rotated. 
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     author = {P. A. Krutitskii},
     title = {The flow of electric current from rectilinear electrodes in a~magnetized semiconductor film},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1689--1701},
     publisher = {mathdoc},
     volume = {30},
     number = {11},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_11_a7/}
}
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P. A. Krutitskii. The flow of electric current from rectilinear electrodes in a magnetized semiconductor film. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1689-1701. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_11_a7/