Elliptic problems in the sense of Lawruk with boundary operators of higher orders in refined Sobolev scale

• Date: 2017
• Author Affiliations: Т. М. Касіренко — Інститут математики НАН України; І. С. Чепурухіна — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Kasirenko, T. M., Chepurukhina, I. S., Касіренко, Т. М., Чепурухіна, І. С.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2017
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/317
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

In a refined Sobolev scale, we investigate an elliptic boundary-value problem with additional unknown functions in boundary conditions for which the maximum of orders of boundary operators is grater than or equal to the order of the elliptic equation. This scale consists of inner product Hörmander s...