Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane

  • S. A. Plaksa Ин-т математики НАН Украины, Киев

Abstract

We develop a method for the reduction of the Dirichlet problem for an axisymmetric potential in a simply connected domain of the meridian plane to a Cauchy singular integral equation. In the case where the boundary of the domain is smooth and satisfies certain additional conditions, we regularize the indicated singular integral equation.
Published
25.12.2001
How to Cite
PlaksaS. A. “Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 53, no. 12, Dec. 2001, pp. 1623-41, https://umj.imath.kiev.ua/index.php/umj/article/view/4383.
Section
Research articles