On behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains
The theorems of uniqueness of solutions are formulated in the classes of increasing functions for a mixed initial boundary value problem for the second-order degenerate quasiparabolic equations in unbounded noncylindrical domains. We presenta priori estimates of a special kind, analogous to the Sain...
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/5837 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512057666830336 |
|---|---|
| author | Kurta, V. V. Курта, В. В. Курта, В. В. |
| author_facet | Kurta, V. V. Курта, В. В. Курта, В. В. |
| author_sort | Kurta, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:18:55Z |
| description | The theorems of uniqueness of solutions are formulated in the classes of increasing functions for a mixed initial boundary value problem for the second-order degenerate quasiparabolic equations in unbounded noncylindrical domains. We presenta priori estimates of a special kind, analogous to the Saint-Venant principle. The proofs are based on the method of introducing a parameter. |
| first_indexed | 2026-03-24T03:22:44Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5837 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:22:44Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/79/06c91f6f461e76a86364a4dca77af179.pdf |
| spelling | umjimathkievua-article-58372020-03-19T09:18:55Z On behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains О поведении решений квазилинейных параболических уравнений второго порядка в неограниченных нецилиндрических областях Kurta, V. V. Курта, В. В. Курта, В. В. The theorems of uniqueness of solutions are formulated in the classes of increasing functions for a mixed initial boundary value problem for the second-order degenerate quasiparabolic equations in unbounded noncylindrical domains. We presenta priori estimates of a special kind, analogous to the Saint-Venant principle. The proofs are based on the method of introducing a parameter. Сформулированы теоремы о единственности решений смешанной начально-краевой задачи для вырождающихся квазипараболических уравнений второго порядка в неограниченных нецилин-дрических областях в классах растущих функций. Приведены априорные оценки специального вида, аналогичные принципу Сен-Венана. Доказательства сформулированных результатов основаны на методе введения параметра. Institute of Mathematics, NAS of Ukraine 1993-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5837 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 4 (1993); 492–499 Український математичний журнал; Том 45 № 4 (1993); 492–499 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5837/8357 https://umj.imath.kiev.ua/index.php/umj/article/view/5837/8358 Copyright (c) 1993 Kurta V. V. |
| spellingShingle | Kurta, V. V. Курта, В. В. Курта, В. В. On behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains |
| title | On behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains |
| title_alt | О поведении решений квазилинейных параболических уравнений второго порядка в неограниченных нецилиндрических областях |
| title_full | On behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains |
| title_fullStr | On behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains |
| title_full_unstemmed | On behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains |
| title_short | On behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains |
| title_sort | on behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5837 |
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