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Zbl 0752.31001
Fabrikant, V.I.
Neumann problem for an annular disk. (English)
[J] Int. J. Eng. Sci. 29, No.11, 1425-1431 (1991). ISSN 0020-7225

Summary: A general formulation is given for the first time to the title problem. The method is based on the results in potential theory obtained by the author earlier. The problem is reduced to a two-dimensional integral equation with an elementary non-singular kernel. Several specific examples are considered. The exact solution is obtained in terms of the iterated kernel.
MSC 2000:
*31A10 Integral representations of harmonic functions (two-dimensional)
45B05 Fredholm integral equations

Keywords: two-dimensional Fredholm integral equations; prescribed charge density distribution; non-singular kernel; exact solution; circular annulus

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