Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane
We develop a method for the reduction of the Dirichlet problem for an axisymmetric potential in a simply connected domain of the meridian plane to a Cauchy singular integral equation. In the case where the boundary of the domain is smooth and satisfies certain additional conditions, we regularize th...
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| Datum: | 2001 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4383 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510513461460992 |
|---|---|
| author | Plaksa, S. A. Плакса, С. А. Плакса, С. А. |
| author_facet | Plaksa, S. A. Плакса, С. А. Плакса, С. А. |
| author_sort | Plaksa, S. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:27:29Z |
| description | We develop a method for the reduction of the Dirichlet problem for an axisymmetric potential in a simply connected domain of the meridian plane to a Cauchy singular integral equation. In the case where the boundary of the domain is smooth and satisfies certain additional conditions, we regularize the indicated singular integral equation. |
| first_indexed | 2026-03-24T02:58:11Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4383 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:58:11Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/67/8a4297b705313e61c21d768d4fc10b67.pdf |
| spelling | umjimathkievua-article-43832020-03-18T20:27:29Z Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane Задача Дирихле для осесимметричиого потенциала в одиосвязпой области меридшшпон плоскости Plaksa, S. A. Плакса, С. А. Плакса, С. А. We develop a method for the reduction of the Dirichlet problem for an axisymmetric potential in a simply connected domain of the meridian plane to a Cauchy singular integral equation. In the case where the boundary of the domain is smooth and satisfies certain additional conditions, we regularize the indicated singular integral equation. Розроблено метод редукції задачі Діріхле для осесиметричного потенціалу в одпозв'язпій області меридіанної площини до сингулярного інтегрального рівняння Коші. У випадку гладкої межі області, що задовольняє деякі додаткові умови, здійснено регуляризацію вказаного сингулярного інтегрального рівняння. Institute of Mathematics, NAS of Ukraine 2001-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4383 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 12 (2001); 1623-1641 Український математичний журнал; Том 53 № 12 (2001); 1623-1641 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4383/5470 https://umj.imath.kiev.ua/index.php/umj/article/view/4383/5471 Copyright (c) 2001 Plaksa S. A. |
| spellingShingle | Plaksa, S. A. Плакса, С. А. Плакса, С. А. Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane |
| title | Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane |
| title_alt | Задача Дирихле для осесимметричиого потенциала в одиосвязпой области меридшшпон плоскости |
| title_full | Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane |
| title_fullStr | Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane |
| title_full_unstemmed | Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane |
| title_short | Dirichlet Problem for an Axisymmetric Potential in a Simply Connected Domain of the Meridian Plane |
| title_sort | dirichlet problem for an axisymmetric potential in a simply connected domain of the meridian plane |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4383 |
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