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

• Date: 2016
• Author Affiliations: А. В. Аноп — Інститут математики НАН України; О. О. Мурач — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Anop, A. V., Murach, A. A., Аноп, А. В., Мурач, О. О.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2016
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/251
• Journal Title: 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...