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

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 spa...

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Bibliographic Details
Date:2021
Main Authors: Chepurukhina, I.S., Murach, A.A.
Format: Article
Language:English
Published: Видавничий дім "Академперіодика" НАН України 2021
Series:Доповіді НАН України
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Elliptic problems in Besov and Sobolev—Triebel—Lizorkin spaces of low regularity / I.S. Chepurukhina, A.A. Murach // Доповіді Національної академії наук України. — 2021. — № 6. — С. 3-11. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.