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A mixed problem in the potential theory for a band. (Russian) Zbl 0551.31003

A partial differential equation describing the potential in a band with mixed boundary conditions is investigated. The boundary conditions are given in the form of a potential difference for a part of the boundary and in the form of a constant differential of the potential along the other parts. The problem can be transformed into a pair of integral equations. After certain simple transformations, the solution is obtained by using the Wiener-Hopf method. The behaviour of the electrical field in the area between the electrode and non-electrode parts of the band is investigated.
Reviewer: A.Fischer

MSC:

31A15 Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions
78A30 Electro- and magnetostatics
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