Coercive solvability of a generalized Cauchy-Riemann system in the Space $L_p (E)$

For an inhomogeneous generalized Cauchy-Riemann system with nonsmooth coefficients separated from zero, we establish conditions for the solvability and estimation of a weighted solution and its first-order derivatives.

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Date:1996
Main Authors: Ospanov, K. N., Оспанов, К. Н.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5210
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Ospanov, K. N.
Оспанов, К. Н.
Оспанов, К. Н.
author_facet Ospanov, K. N.
Оспанов, К. Н.
Оспанов, К. Н.
author_institution_txt_mv [ { "author": "К. Н. Оспанов", "institution": null } ]
author_sort Ospanov, K. N.
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description For an inhomogeneous generalized Cauchy-Riemann system with nonsmooth coefficients separated from zero, we establish conditions for the solvability and estimation of a weighted solution and its first-order derivatives.
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spelling umjimathkievua-article-52102020-03-18T21:27:04Z Coercive solvability of a generalized Cauchy-Riemann system in the Space $L_p (E)$ Коэрцитивная разрешимость обобщенной системы Коши-Римана в пространстве $L_p (E)$ Ospanov, K. N. Оспанов, К. Н. Оспанов, К. Н. For an inhomogeneous generalized Cauchy-Riemann system with nonsmooth coefficients separated from zero, we establish conditions for the solvability and estimation of a weighted solution and its first-order derivatives. Знайдено умови розв'язності та оцінки розв'язку з вагою, а також похідних першого порядку неоднорідної узагальненої системи Коші - Рімана з відокремленими від нуля негладкими коефіцієнтами. Institute of Mathematics, NAS of Ukraine 1996-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5210 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 11 (1996); 1564-1569 Український математичний журнал; Том 48 № 11 (1996); 1564-1569 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5210/7114 https://umj.imath.kiev.ua/index.php/umj/article/view/5210/7115 Copyright (c) 1996 Ospanov K. N.
spellingShingle Ospanov, K. N.
Оспанов, К. Н.
Оспанов, К. Н.
Coercive solvability of a generalized Cauchy-Riemann system in the Space $L_p (E)$
title Coercive solvability of a generalized Cauchy-Riemann system in the Space $L_p (E)$
title_alt Коэрцитивная разрешимость обобщенной системы Коши-Римана в пространстве $L_p (E)$
title_full Coercive solvability of a generalized Cauchy-Riemann system in the Space $L_p (E)$
title_fullStr Coercive solvability of a generalized Cauchy-Riemann system in the Space $L_p (E)$
title_full_unstemmed Coercive solvability of a generalized Cauchy-Riemann system in the Space $L_p (E)$
title_short Coercive solvability of a generalized Cauchy-Riemann system in the Space $L_p (E)$
title_sort coercive solvability of a generalized cauchy-riemann system in the space $l_p (e)$
url https://umj.imath.kiev.ua/index.php/umj/article/view/5210
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