Elliptic Boundary-Value Problems in the Sense of Lawruk on Sobolev and Hörmander Spaces

• Published in: Український математичний журнал
• Date: 2015
• Main Authors: Murach, A.A., Chepurukhina, I.S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165609
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Elliptic Boundary-Value Problems in the Sense of Lawruk on Sobolev and Hörmander Spaces / A.A. Murach, I.S. Chepurukhina // Український математичний журнал. — 2015. — Т. 67, № 5. — С. 672–691. — Бібліогр.: 44 назв. — англ.

We study elliptic boundary-value problems with additional unknown functions in boundary conditions. These problems were introduced by Lawruk. We prove that the operator corresponding to a problem of this kind is bounded and Fredholm in appropriate couples of the inner product isotropic Hörmander spa...