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

  • V. A. Mikhailets
  • A. A. Murach

Abstract

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 scale are Hörmander-Volevich-Paneyakh isotropic spaces and some their modi.cations. An a priori estimate for a solution is obtained and its regularity is investigated.
Published
25.04.2008
How to Cite
MikhailetsV. A., and MurachA. A. “Elliptic Boundary-Value Problem in a Two-Sided Improved Scale of Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 4, Apr. 2008, pp. 497–520, https://umj.imath.kiev.ua/index.php/umj/article/view/3172.
Section
Research articles