On the local up to the boundary of domain properties of harmonic functions

For harmonic functions given in a bounded Euclidean domain with smooth boundary, we prove theorems on the local regularity and local a priory estimate up to the boundary in the two-sided Sobolev scale.

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Bibliographic Details
Date:2017
Main Authors: Anop, A. V., Murach, A. A., Аноп, A. В., Мурач, О. О.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2017
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/266
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine