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The boundary value problem of potential theory in space with conductor. (Ukrainian. English summary) Zbl 0972.31005

Summary: A general solution of the boundary value problem of potential theory in space with arbitrarily distributed spherical conductors without intersections is found. The numerical implementation of this solution for an ordered occupancy of conductors is realized. The capacity of the conductors is determined.

MSC:

31A25 Boundary value and inverse problems for harmonic functions in two dimensions
65Z05 Applications to the sciences