Behavior of the Double-Layer Potential for a Parabolic Equation on a Manifold

• Дата: 2003
• Автори: Bernatskaya, J. N., Бернацька, Ю. Н.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2003
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3935
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove that, similarly to the double-layer potential in \(\mathbb{R}^n \) , the double-layer potential constructed in a Riemann manifold of nonpositive sectional curvature has a jump in passing through the surface where its density is defined.