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

• Дата: 2001
• Автори: Plaksa, S. A., Плакса, С. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2001
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4383
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 th...