2017
Том 69
№ 9

All Issues

On the Solution of the Exterior Dirichlet Problem for an Axisymmetric Potential

Plaksa S. A.

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Abstract

For an unbounded domain of the meridian plane with bounded smooth boundary that satisfies certain additional conditions, we develop a method for the reduction of the Dirichlet problem for an axisymmetric potential to Fredholm integral equations. In the case where the boundary of the domain is a unit circle, we obtain a solution of the exterior Dirichlet problem in explicit form.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 12, pp 1982-1991.

Citation Example: Plaksa S. A. On the Solution of the Exterior Dirichlet Problem for an Axisymmetric Potential // Ukr. Mat. Zh. - 2002. - 54, № 12. - pp. 1634-1641.

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