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.

arXiv comment8 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