Regular elliptic boundary-value problem for a homogeneous equation in a two-sided improved scale of spaces

• Date: 2006
• Main Authors: Mikhailets, V. A., Murach, A. A., Михайлець, В. А., Мурач, О. О.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3553
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study a regular elliptic boundary-value problem for a homogeneous differential equation in a bounded domain. We prove that the operator of this problem is a Fredholm (Noether) operator in a two-sided improved scale of functional Hilbert spaces. The elements of this scale are Hörmander-Volevich-Pa...