Geodesic
On a~boundary value problem, describing the Hall effect in a~semi-conductor with two periodic sets of electrodes
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 729-742

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We construct the explicit solution of the boundary value problem on the electric flow from periodic electrodes in a semiconductor film placed in a constant magnetic field. Electrodes form two periodic systems in a semiconductor. From the mathematical point of view we study boundary value problem for harmonic functions outside straight-line periodic cuts in a plane. The skew derivative boundary condition is specified on the cuts. 
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     author = {P. A. Krutitskii and K. A. Logginova},
     title = {On a~boundary value problem, describing the {Hall} effect in a~semi-conductor with two periodic sets of electrodes},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a7/}
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P. A. Krutitskii; K. A. Logginova. On a~boundary value problem, describing the Hall effect in a~semi-conductor with two periodic sets of electrodes. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 3, pp. 729-742. http://geodesic.mathdoc.fr/item/FPM_2002_8_3_a7/