Elliptic boundary-value problems in complete scales of Nikol'skii-type spaces

  • A. A. Murach

Abstract

We consider an elliptic boundary-value problem on an infinitely smooth manifold with, generally speaking, disconnected boundary. It is established that the operator of this problem is a Fredholm operator when considered in complete scales of functional spaces that depend on the parameters s ε ℝ,pε[1, ∞] and, for sufficiently large s≥0, coincide with the classical Nikol'skii spaces on a manifold.
Published
25.12.1994
How to Cite
MurachA. A. “Elliptic Boundary-Value Problems in Complete Scales of Nikol’skii-Type Spaces”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 46, no. 12, Dec. 1994, pp. 1647–1654, https://umj.imath.kiev.ua/index.php/umj/article/view/5575.
Section
Research articles