Some semi-homogeneous elliptic boundary-value problems in complete extended Sobolev scale

• Дата: 2016
• Автори: Anop, A. V., Murach, A. A., Аноп, А. В., Мурач, О. О.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут математики НАН України 2016
• Онлайн доступ: https://trim.imath.kiev.ua/index.php/trim/article/view/251
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

We investigate a regular elliptic boundary-value problem for a homogeneous elliptic equation given in a bounded Euclidean domain with infinitely smooth boundary. We prove that the operator of the problem is bounded and Fredholm in appropriate pairs of H\"ormander inner product spaces. They...