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

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...

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Bibliographic Details
Date:2016
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
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine