FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 1, PAGES 47-60

**A mixed problem in a magnetized semiconductor film with two
periodic systems of cuts**

A. S. Gosteva

N. Ch. Krutitskaya

P. A. Krutitskii

Abstract

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The boundary-value problem for harmonic functions is considered in
the exterior of straight line periodic cuts in a plane.
The Dirichlet boundary condition is specified on one side of each cut
and the skew derivative boundary condition is specified on another
side of each cut.
An explicit solution of the problem is obtained with the help of the
theory of analytic complex functions.
The uniqueness of the solution is proved.
The problem describes the electric current from straight line periodic
electrodes in a semiconductor film placed in a constant magnetic
field.

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Last modified: July 5, 2002