Elliptic boundary-value problem in a two-sided improved scale of spaces

• Date: 2008
• Main Authors: Mikhailets, V. A., Murach, A. A., Михайлец, В. А., Мурач, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3172
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study a regular elliptic boundary-value problem in a bounded domain with smooth boundary. We prove that the operator of this problem is a Fredholm one in a two-sided improved scale of functional Hilbert spaces and that it generates there a complete collection of isomorphisms. Elements of this sca...