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

• Date: 2015
• Main Authors: Chepurukhina, I. S., Murach, A. A., Чепурухина, І. С., Мурач, О. О.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2014
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...