Elliptic Operators in a Refined Scale of Functional Spaces

  • V. A. Mikhailets
  • A. A. Murach


We study the theory of elliptic boundary-value problems in the refined two-sided scale of the Hormander spaces $H^{s, \varphi}$, where $s \in R,\quad \varphi$ is a functional parameter slowly varying on $+\infty$. In the case of the Sobolev spaces $H^{s}$, the function $\varphi(|\xi|) \equiv 1$. We establish that the considered operators possess the properties of the Fredholm operators, and the solutions are globally and locally regular.
How to Cite
Mikhailets, V. A., and A. A. Murach. “Elliptic Operators in a Refined Scale of Functional Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 5, May 2005, pp. 689–696, https://umj.imath.kiev.ua/index.php/umj/article/view/3635.
Research articles