On the evolution operators for some equations of mathematical physics with variable coefficients
It is shown that, with the help of a relatively simple operator technique, it is possible to solve, from a common point of view, the Cauchy problem for many important equations of mathematical physics with variable coefficients. This result is applied to the equations of kinetic theory, and diffusio...
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| Datum: | 1994 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5677 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511902988238848 |
|---|---|
| author | Kochmanski, S. Кохманьски, С. Кохманьски, С. |
| author_facet | Kochmanski, S. Кохманьски, С. Кохманьски, С. |
| author_sort | Kochmanski, S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:15:43Z |
| description | It is shown that, with the help of a relatively simple operator technique, it is possible to solve, from a common point of view, the Cauchy problem for many important equations of mathematical physics with variable coefficients. This result is applied to the equations of kinetic theory, and diffusion and heat conduction equations. We discuss the problem of equivalence of different schemes of expansion according to the Hausdorff formula. |
| first_indexed | 2026-03-24T03:20:17Z |
| format | Article |
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| id | umjimathkievua-article-5677 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:20:17Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/58/3476205a40fef66d54e77e169adbb258.pdf |
| spelling | umjimathkievua-article-56772020-03-19T09:15:43Z On the evolution operators for some equations of mathematical physics with variable coefficients Оператор эволюции для некоторых уравнений математической физики с переменными коэффициентами Kochmanski, S. Кохманьски, С. Кохманьски, С. It is shown that, with the help of a relatively simple operator technique, it is possible to solve, from a common point of view, the Cauchy problem for many important equations of mathematical physics with variable coefficients. This result is applied to the equations of kinetic theory, and diffusion and heat conduction equations. We discuss the problem of equivalence of different schemes of expansion according to the Hausdorff formula. Показано, що з використанням порівняно простої операгорної техніки можна з єдиної точки зору розв’язати задачу Коші для ряду важливих рівнянь математичної фізики зі змінними коефіцієнтами. Наводиться ряд прикладів з кінетииної теорії, теорії дифузії та теплопровідності. Розглядається питання еквівалентності різних схем розкладу за формулою Хаусдорфа. Institute of Mathematics, NAS of Ukraine 1994-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5677 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 7 (1994); 857–869 Український математичний журнал; Том 46 № 7 (1994); 857–869 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5677/8039 https://umj.imath.kiev.ua/index.php/umj/article/view/5677/8040 Copyright (c) 1994 Kochmanski S. |
| spellingShingle | Kochmanski, S. Кохманьски, С. Кохманьски, С. On the evolution operators for some equations of mathematical physics with variable coefficients |
| title | On the evolution operators for some equations of mathematical physics with variable coefficients |
| title_alt | Оператор эволюции для некоторых уравнений математической физики с переменными коэффициентами |
| title_full | On the evolution operators for some equations of mathematical physics with variable coefficients |
| title_fullStr | On the evolution operators for some equations of mathematical physics with variable coefficients |
| title_full_unstemmed | On the evolution operators for some equations of mathematical physics with variable coefficients |
| title_short | On the evolution operators for some equations of mathematical physics with variable coefficients |
| title_sort | on the evolution operators for some equations of mathematical physics with variable coefficients |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5677 |
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