FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 4, PAGES 1061-1073

**Mixed problem in a magnetized semiconductor film with cuts along
a straight line**

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 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
the other side of each cut.
The explicit solution of the problem is obtained with
the help of the theory of analytic complex functions.
Uniqueness of the solution is proved.
The problem describes electric current from straight line
electrodes in a semiconductor film placed in a constant
magnetic field.

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Last modified: February 13, 2001