Elliptic problems in Besov and Sobolev-Triebel-Lizorkin spaces of low regularity

Abstract

Elliptic problems with additional unknown distributions in boundary conditions are investigated in Besov and Sobolev-Triebel-Lizorkin spaces of low regularity, specifically of an arbitrary negative order. We find that the problems induce Fredholm bounded operators on appropriate pairs of these spaces.

8 pages

References in corpus (2)

• Boundary Value Problems of Elliptic and Parabolic Type with Boundary Data of Negative Regularity
• Extension of some Lions-Magenes theorems