On Green's function for the Helmholtz equation in a wedge
It is found that, in the spherical coordinate system, the fundamental solution of the Helmholtz equation in a wedge satisfies the Sommerfeld radiation conditions at infinity uniformly in angle coordinates.
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| Datum: | 1993 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1993
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5935 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512160548913152 |
|---|---|
| author | Mel'nik, Yu. I. Podlipenko, Yu. K. Мельник, Ю. И. Подлипенко, Ю. К. Мельник, Ю. И. Подлипенко, Ю. К. |
| author_facet | Mel'nik, Yu. I. Podlipenko, Yu. K. Мельник, Ю. И. Подлипенко, Ю. К. Мельник, Ю. И. Подлипенко, Ю. К. |
| author_sort | Mel'nik, Yu. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:21:13Z |
| description | It is found that, in the spherical coordinate system, the fundamental solution of the Helmholtz equation in a wedge satisfies the Sommerfeld radiation conditions at infinity uniformly in angle coordinates. |
| first_indexed | 2026-03-24T03:24:22Z |
| format | Article |
| fulltext |
YUK 519. 64
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It is found that , in the spherical coordinate system, the fundamental solution of the Helmholtz equation
in a wedge satisfies the Sommerfeld emission conditions at infinity uniformly with respect to the angle
coordinates.
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| id | umjimathkievua-article-5935 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:24:22Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ff/e9d45bc0fd53e3059e08198785e463ff.pdf |
| spelling | umjimathkievua-article-59352020-03-19T09:21:13Z On Green's function for the Helmholtz equation in a wedge О функции Грина для уравнения Гельмгольца в клине Mel'nik, Yu. I. Podlipenko, Yu. K. Мельник, Ю. И. Подлипенко, Ю. К. Мельник, Ю. И. Подлипенко, Ю. К. It is found that, in the spherical coordinate system, the fundamental solution of the Helmholtz equation in a wedge satisfies the Sommerfeld radiation conditions at infinity uniformly in angle coordinates. Встановлено, що у сферичній системі координат фундаментальний розв’язок рівняння Гельмгольца у клині задовольняє на нескінченності умови випромінювання Зоммерфельда рівномірно за кутовими координатами. Institute of Mathematics, NAS of Ukraine 1993-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5935 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 9 (1993); 1312-1314 Український математичний журнал; Том 45 № 9 (1993); 1312-1314 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5935/8553 https://umj.imath.kiev.ua/index.php/umj/article/view/5935/8554 Copyright (c) 1993 Mel'nik Yu. I.; Podlipenko Yu. K. |
| spellingShingle | Mel'nik, Yu. I. Podlipenko, Yu. K. Мельник, Ю. И. Подлипенко, Ю. К. Мельник, Ю. И. Подлипенко, Ю. К. On Green's function for the Helmholtz equation in a wedge |
| title | On Green's function for the Helmholtz equation in a wedge |
| title_alt | О функции Грина для уравнения Гельмгольца в клине |
| title_full | On Green's function for the Helmholtz equation in a wedge |
| title_fullStr | On Green's function for the Helmholtz equation in a wedge |
| title_full_unstemmed | On Green's function for the Helmholtz equation in a wedge |
| title_short | On Green's function for the Helmholtz equation in a wedge |
| title_sort | on green's function for the helmholtz equation in a wedge |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5935 |
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