Exactness of the cordes condition of the Hölder property for the gradient of nondivergent elliptic systems
We give an example of a nondivergent elliptic system showing that the classical Cordes condition of the Hölder property for the gradient of solution of a nondivergent elliptic equation is exact if properly extended onto systems.
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| Datum: | 1995 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5415 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511646487674880 |
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| author | Kalita, E. A. Калита, Е. А. Калита, Е. А. |
| author_facet | Kalita, E. A. Калита, Е. А. Калита, Е. А. |
| author_sort | Kalita, E. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:58:41Z |
| description | We give an example of a nondivergent elliptic system showing that the classical Cordes condition of the Hölder property for the gradient of solution of a nondivergent elliptic equation is exact if properly extended onto systems. |
| first_indexed | 2026-03-24T03:16:12Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5415 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:12Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/6c/8036523d0ec9918d1f110b4c877e4e6c.pdf |
| spelling | umjimathkievua-article-54152020-03-19T08:58:41Z Exactness of the cordes condition of the Hölder property for the gradient of nondivergent elliptic systems Точность условия Кордеса гельдеровости градиента для недивергентных эллиптических систем Kalita, E. A. Калита, Е. А. Калита, Е. А. We give an example of a nondivergent elliptic system showing that the classical Cordes condition of the Hölder property for the gradient of solution of a nondivergent elliptic equation is exact if properly extended onto systems. Наведено приклад недивергентної еліптичної системи, який свідчить про те, що класична умова Кордеса гельдеровості градієнта розв'язку недивергентного еліптичного рівняння при відповідному розповсюдженні на системи є точною. Institute of Mathematics, NAS of Ukraine 1995-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5415 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 2 (1995); 292–294 Український математичний журнал; Том 47 № 2 (1995); 292–294 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5415/7519 https://umj.imath.kiev.ua/index.php/umj/article/view/5415/7520 Copyright (c) 1995 Kalita E. A. |
| spellingShingle | Kalita, E. A. Калита, Е. А. Калита, Е. А. Exactness of the cordes condition of the Hölder property for the gradient of nondivergent elliptic systems |
| title | Exactness of the cordes condition of the Hölder property for the gradient of nondivergent elliptic systems |
| title_alt | Точность условия Кордеса гельдеровости градиента для недивергентных
эллиптических систем |
| title_full | Exactness of the cordes condition of the Hölder property for the gradient of nondivergent elliptic systems |
| title_fullStr | Exactness of the cordes condition of the Hölder property for the gradient of nondivergent elliptic systems |
| title_full_unstemmed | Exactness of the cordes condition of the Hölder property for the gradient of nondivergent elliptic systems |
| title_short | Exactness of the cordes condition of the Hölder property for the gradient of nondivergent elliptic systems |
| title_sort | exactness of the cordes condition of the hölder property for the gradient of nondivergent elliptic systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5415 |
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