A boundary-value problem for periodic harmonic functions outside a periodic system of rectilinear cuts on a plane has been considered. The Dirichlet condition is therewith specified on one side of each cut, and on the other side, the condition with a skew derivative is given. An explicit solution to the problem has been constructed for analytical functions with the help of the boundary problem theory. The uniqueness of solution has been proved. The problem describes the distribution of the electric field potential in a magnetized semiconducting film with a periodic system of rectilinear electrodes.
Departrnent of Mathematics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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