FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 3, PAGES 729-742

**On a boundary value problem, describing the Hall effect in
a semi-conductor with two periodic sets of electrodes**

P. A. Krutitskii

K. A. Logginova

Abstract

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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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published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k02/k023/k02308h.htm

Last modified: February 17, 2003