Regular Elliptic Boundary-Value Problems in the Extended Sobolev Scale

• Date: 2014
• Main Authors: Anop, A. V., Murach, A. A., Аноп, А. В., Мурач, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2185
• Journal Title: 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...