On solutions of the Dirichlet problem for elliptic systems on a circle

• Дата: 1992
• Автори: Bursky, V. P., Бурский, В. П.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1992
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/8225
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study $2\times2$ second–order elliptic systems, which can be written as a single equation with complex coefficients. In an arbitrary bounded region with smooth boundary, we obtain necessary and sufficient conditions on the trace relation of a solution, which we apply in the case of a disk. We pro...