Robin boundary-value problem for the Beltrami equation
UDC 517.5 We investigate the unique solution of the Robin boundary-value problem for the Beltrami equation with constant coefficients in the unit disc by using a technique based on a singular integral operator defined on $ L_{p}(\mathbb{D})$ for all $p>2.$
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| Дата: | 2023 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2023
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/6838 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512538049904640 |
|---|---|
| author | Gençtürk, I. Gençtürk, I. |
| author_facet | Gençtürk, I. Gençtürk, I. |
| author_sort | Gençtürk, I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-05-14T15:30:09Z |
| description |
UDC 517.5
We investigate the unique solution of the Robin boundary-value problem for the Beltrami equation with constant coefficients in the unit disc by using a technique based on a singular integral operator defined on $ L_{p}(\mathbb{D})$ for all $p>2.$ |
| doi_str_mv | 10.37863/umzh.v75i4.6838 |
| first_indexed | 2026-03-24T03:30:22Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-6838 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:30:22Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-68382023-05-14T15:30:09Z Robin boundary-value problem for the Beltrami equation Robin boundary-value problem for the Beltrami equation Gençtürk, I. Gençtürk, I. Beltrami equation Robin boundary value problem singular integral operator UDC 517.5 We investigate the unique solution of the Robin boundary-value problem for the Beltrami equation with constant coefficients in the unit disc by using a technique based on a singular integral operator defined on $ L_{p}(\mathbb{D})$ for all $p>2.$ УДК 517.5 Крайова задача Робіна для рівняння Бельтрамі Досліджено єдиний розв’язок крайової задачі Робіна для рівняння Бельтрамі зі сталими коефіцієнтами в одиничному крузі за допомогою процедури, яка \cyrgupрунтується на сингулярному інтегральному операторі, визначеному на $ L_{p}(\mathbb{D})$ для всіх $p>2.$ Institute of Mathematics, NAS of Ukraine 2023-05-10 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/6838 10.37863/umzh.v75i4.6838 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 4 (2023); 447 - 454 Український математичний журнал; Том 75 № 4 (2023); 447 - 454 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/6838/9778 Copyright (c) 2023 Ilker Gencturk |
| spellingShingle | Gençtürk, I. Gençtürk, I. Robin boundary-value problem for the Beltrami equation |
| title | Robin boundary-value problem for the Beltrami equation |
| title_alt | Robin boundary-value problem for the Beltrami equation |
| title_full | Robin boundary-value problem for the Beltrami equation |
| title_fullStr | Robin boundary-value problem for the Beltrami equation |
| title_full_unstemmed | Robin boundary-value problem for the Beltrami equation |
| title_short | Robin boundary-value problem for the Beltrami equation |
| title_sort | robin boundary-value problem for the beltrami equation |
| topic_facet | Beltrami equation Robin boundary value problem singular integral operator |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/6838 |
| work_keys_str_mv | AT gencturki robinboundaryvalueproblemforthebeltramiequation AT gencturki robinboundaryvalueproblemforthebeltramiequation |