Unimprovable estimates for solutions of a mixed problem for linear elliptic equations of the second order in a neighborhood of an angular point

Under the minimal conditions for the smoothness of the coefficients of an equation, unimprovable estimates are obtained for solutions of a mixed problem for linear nondivergent elliptic equations of the second order in a neighborhood of an angular point of the boundary of a domain.

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Date:1997
Main Authors: Chernetskii, V. A., Чернецький, В. А.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1997
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5152
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Chernetskii, V. A.
Чернецький, В. А.
author_facet Chernetskii, V. A.
Чернецький, В. А.
author_sort Chernetskii, V. A.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2020-03-18T21:25:50Z
description Under the minimal conditions for the smoothness of the coefficients of an equation, unimprovable estimates are obtained for solutions of a mixed problem for linear nondivergent elliptic equations of the second order in a neighborhood of an angular point of the boundary of a domain.
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spelling umjimathkievua-article-51522020-03-18T21:25:50Z Unimprovable estimates for solutions of a mixed problem for linear elliptic equations of the second order in a neighborhood of an angular point Непокращувальні оцінки розв'язків мішаної задачі для лінійних еліптичних рівнянь другого порядку в околі кутової точки Chernetskii, V. A. Чернецький, В. А. Under the minimal conditions for the smoothness of the coefficients of an equation, unimprovable estimates are obtained for solutions of a mixed problem for linear nondivergent elliptic equations of the second order in a neighborhood of an angular point of the boundary of a domain. Одержано иепокращувальиі оцінки розв'язків мішаної задачі для лінійних недивергентних еліптичних рівнянь другого порядку в околі кутової точки межі області при мінімальних вимогах на гладкість коефіцієнтів рівняння. Institute of Mathematics, NAS of Ukraine 1997-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5152 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 11 (1997); 1529–1542 Український математичний журнал; Том 49 № 11 (1997); 1529–1542 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5152/7000 https://umj.imath.kiev.ua/index.php/umj/article/view/5152/7001 Copyright (c) 1997 Chernetskii V. A.
spellingShingle Chernetskii, V. A.
Чернецький, В. А.
Unimprovable estimates for solutions of a mixed problem for linear elliptic equations of the second order in a neighborhood of an angular point
title Unimprovable estimates for solutions of a mixed problem for linear elliptic equations of the second order in a neighborhood of an angular point
title_alt Непокращувальні оцінки розв'язків мішаної задачі для лінійних еліптичних рівнянь другого порядку в околі кутової точки
title_full Unimprovable estimates for solutions of a mixed problem for linear elliptic equations of the second order in a neighborhood of an angular point
title_fullStr Unimprovable estimates for solutions of a mixed problem for linear elliptic equations of the second order in a neighborhood of an angular point
title_full_unstemmed Unimprovable estimates for solutions of a mixed problem for linear elliptic equations of the second order in a neighborhood of an angular point
title_short Unimprovable estimates for solutions of a mixed problem for linear elliptic equations of the second order in a neighborhood of an angular point
title_sort unimprovable estimates for solutions of a mixed problem for linear elliptic equations of the second order in a neighborhood of an angular point
url https://umj.imath.kiev.ua/index.php/umj/article/view/5152
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