Irregular elliptic boundary-value problems and Hörmander spaces

• Date: 2018
• Main Authors: Anop, A. V., Kasirenko, T. M., Murach, A. A., Аноп, А. В., Касіренко, Т. М., Мурач, О. О.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1558
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study nonregular elliptic problems with boundary conditions of higher orders and prove that these problems are Fredholm on appropriate pairs of the inner-product H¨ormander spaces that form a two-sided refined Sobolev scale. We prove a theorem on the regularity of generalized solutions to the pro...