On Simple-Layer Potentials for One Class of Pseudodifferential Equations

• Дата: 2015
• Автори: Osipchuk, M. M., Portenko, N. I., Осипчук, М. М., Портенко, М. І.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2015
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2086
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We construct single-layer potentials for a class of pseudodifferential equations connected with symmetric stable stochastic processes. An operator similar to the operator of gradient in the classical potential theory is selected and an analog of the classical theorem on the jump of (co)normal deriva...