On the Solution of the Exterior Dirichlet Problem for an Axisymmetric Potential
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.
Published
25.12.2002
How to Cite
PlaksaS. A. “On the Solution of the Exterior Dirichlet Problem for an Axisymmetric Potential”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 54, no. 12, Dec. 2002, pp. 1634-41, https://umj.imath.kiev.ua/index.php/umj/article/view/4202.
Issue
Section
Research articles