Regular Elliptic Boundary-Value Problems in the Extended Sobolev Scale

• Дата: 2014
• Автори: Anop, A. V., Murach, A. A., Аноп, А. В., Мурач, А. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2014
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2185
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate an arbitrary regular elliptic boundary-value problem given in a bounded Euclidean C ∞- domain. It is shown that the operator of the problem is bounded and Fredholm in appropriate pairs of Hörmander inner-product spaces. They are parametrized with the help of an arbitrary radial functi...