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

2021/08/19 by Chepurukhina, I. S., Murach, A. A.
#35J40 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2108.08741

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.

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