FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 4, PAGES 1061-1073
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