Open AccessElliptic problems in Besov and Sobolev—Triebel—Lizorkin spaces of low regularity
Author(s) -
I.S. Chepurukhina,
Aleksandr A. Murach
Publication year - 2021
Publication title -
dopovidi nacionalʹnoï akademiï nauk ukraïni/dopovìdì nacìonalʹnoï akademìï nauk ukraïni
Language(s) - English
Resource type - Journals
eISSN - 2518-153X
pISSN - 1025-6415
DOI - 10.15407/dopovidi2021.06.003
Subject(s) - sobolev space , mathematics , bounded function , boundary (topology) , besov space , pure mathematics , order (exchange) , mathematical analysis , interpolation space , functional analysis , business , biochemistry , chemistry , finance , gene
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.