Boundary-value problems for the helmholtz equation in an angular domain. II
We investigate boundary-value problems that appear in the study of the diffraction of acoustic waves on an infinite cylinder (with a cross section of an arbitrary shape) placed inside a wedge so that the axis of the cylinder is parallel to the edge of the wedge. The potential theory which enables on...
Збережено в:
| Дата: | 1993 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1993
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5838 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512058841235456 |
|---|---|
| author | Podlipenko, Yu. K. Подлипенко, Ю. К. Подлипенко, Ю. К. |
| author_facet | Podlipenko, Yu. K. Подлипенко, Ю. К. Подлипенко, Ю. К. |
| author_sort | Podlipenko, Yu. K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:55Z |
| description | We investigate boundary-value problems that appear in the study of the diffraction of acoustic waves on an infinite cylinder (with a cross section of an arbitrary shape) placed inside a wedge so that the axis of the cylinder is parallel to the edge of the wedge. The potential theory which enables one to reduce these boundary-value problems to integral equations is elaborated. |
| first_indexed | 2026-03-24T03:22:45Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5838 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:45Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/73/be3cee2a2c4d35e3ad6e66c7f5c2c273.pdf |
| spelling | umjimathkievua-article-58382020-03-19T09:18:55Z Boundary-value problems for the helmholtz equation in an angular domain. II Краевые задачи для уравнения Гельмгольца в угловой области. II Podlipenko, Yu. K. Подлипенко, Ю. К. Подлипенко, Ю. К. We investigate boundary-value problems that appear in the study of the diffraction of acoustic waves on an infinite cylinder (with a cross section of an arbitrary shape) placed inside a wedge so that the axis of the cylinder is parallel to the edge of the wedge. The potential theory which enables one to reduce these boundary-value problems to integral equations is elaborated. Изучаются краевые задачи, возникающие при исследовании дифракции акустических волн на бесконечном цилиндре с произвольной формой поперечного сечения, расположенном внутри клина так, что ось цилиндра параллельна ребру клина. Развита теория потенциала, позволяющая свести краевые задачи к интегральным уравнениям. Institute of Mathematics, NAS of Ukraine 1993-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5838 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 4 (1993); 500–519 Український математичний журнал; Том 45 № 4 (1993); 500–519 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5838/8359 https://umj.imath.kiev.ua/index.php/umj/article/view/5838/8360 Copyright (c) 1993 Podlipenko Yu. K. |
| spellingShingle | Podlipenko, Yu. K. Подлипенко, Ю. К. Подлипенко, Ю. К. Boundary-value problems for the helmholtz equation in an angular domain. II |
| title | Boundary-value problems for the helmholtz equation in an angular domain. II |
| title_alt | Краевые задачи для уравнения Гельмгольца в угловой области. II |
| title_full | Boundary-value problems for the helmholtz equation in an angular domain. II |
| title_fullStr | Boundary-value problems for the helmholtz equation in an angular domain. II |
| title_full_unstemmed | Boundary-value problems for the helmholtz equation in an angular domain. II |
| title_short | Boundary-value problems for the helmholtz equation in an angular domain. II |
| title_sort | boundary-value problems for the helmholtz equation in an angular domain. ii |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5838 |
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