One method for solution of the Cauchy problem for singular parabolic equations
We consider a system of parabolic type with singular coefficients on boundary hyperplanes. We reduce the solution of the Cauchy problem to an integral equation and determine the fundamental solution as the kernel of the inverse operator of the Cauchy problem.
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| Datum: | 1992 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7805 |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512766667784192 |
|---|---|
| author | Matiichuk , M. I. Матийчук , М. И. |
| author_facet | Matiichuk , M. I. Матийчук , М. И. |
| author_sort | Matiichuk , M. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-09-14T12:03:56Z |
| description | We consider a system of parabolic type with singular coefficients on boundary hyperplanes. We reduce the solution of the Cauchy problem to an integral equation and determine the fundamental solution as the kernel of the inverse operator of the Cauchy problem. |
| first_indexed | 2026-03-24T03:34:00Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-7805 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:34:00Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/8f/6c76b2d0774750749ad806cbf376268f.pdf |
| spelling | umjimathkievua-article-78052023-09-14T12:03:56Z One method for solution of the Cauchy problem for singular parabolic equations Об одном методе решения задачи Коши для сингулярных параболических уравнений Matiichuk , M. I. Матийчук , М. И. We consider a system of parabolic type with singular coefficients on boundary hyperplanes. We reduce the solution of the Cauchy problem to an integral equation and determine the fundamental solution as the kernel of the inverse operator of the Cauchy problem. Рассматривается система параболического типа с сингулярными коэффициентами на граничных гиперплоскостях. Решение задачи Коши сводится к интегральному уравнению и фундаментальное решение определяется как ядро обратного оператора задачи Коши. Розглядається система параболічного типу з сингулярними коефіцієнтами на граничних гіперплощинах. Розв’язування задачі Коші зводиться до інтегрального рівняння і фундаментальний розв’язок визначається як ядро оберненого оператора задачі Коші. Institute of Mathematics, NAS of Ukraine 1992-02-04 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/7805 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 1 (1992); 135-138 Український математичний журнал; Том 44 № 1 (1992); 135-138 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/7805/9472 Copyright (c) 1992 M. I. Matiichuk |
| spellingShingle | Matiichuk , M. I. Матийчук , М. И. One method for solution of the Cauchy problem for singular parabolic equations |
| title | One method for solution of the Cauchy problem for singular parabolic equations |
| title_alt | Об одном методе решения задачи Коши для сингулярных параболических уравнений |
| title_full | One method for solution of the Cauchy problem for singular parabolic equations |
| title_fullStr | One method for solution of the Cauchy problem for singular parabolic equations |
| title_full_unstemmed | One method for solution of the Cauchy problem for singular parabolic equations |
| title_short | One method for solution of the Cauchy problem for singular parabolic equations |
| title_sort | one method for solution of the cauchy problem for singular parabolic equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7805 |
| work_keys_str_mv | AT matiichukmi onemethodforsolutionofthecauchyproblemforsingularparabolicequations AT matijčukmi onemethodforsolutionofthecauchyproblemforsingularparabolicequations AT matiichukmi obodnommetoderešeniâzadačikošidlâsingulârnyhparaboličeskihuravnenij AT matijčukmi obodnommetoderešeniâzadačikošidlâsingulârnyhparaboličeskihuravnenij |