The Lions-Magenes type theorems for Lawruk elliptic boundary-value problems

• Date: 2016
• Author Affiliations: І. С. Чепурухіна — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Chepurukhina, I. S., Чепурухіна, І. С.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2016
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/265
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We investigate elliptic boundary-value problems with additional unknown functions in boundary-conditions introduced by Lawruk. We prove that these problems are Fredholm in some Sobolev spaces of order $s<2q$, where $2q$ is the order of the corresponding elliptic equation. Thus, we establi...