Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations
Initial boundary-value problems are considered for equations of porous medium and $p$-Laplace types. By using the Schwarz symmetrization method, the $L_p$-estimates for the solutions of the original problems are obtained in terms of the analogous estimates for the corresponding symmetric solutions.
Збережено в:
| Дата: | 1993 |
|---|---|
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1993
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5880 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512100292493312 |
|---|---|
| author | Bazalii, B. V. Tedeev, A. F. Базалий, Б. В. Тедеев, А. Ф. Базалий, Б. В. Тедеев, А. Ф. |
| author_facet | Bazalii, B. V. Tedeev, A. F. Базалий, Б. В. Тедеев, А. Ф. Базалий, Б. В. Тедеев, А. Ф. |
| author_sort | Bazalii, B. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:04Z |
| description | Initial boundary-value problems are considered for equations of porous medium and $p$-Laplace types. By using the Schwarz symmetrization method, the $L_p$-estimates for the solutions of the original problems are obtained in terms of the analogous estimates for the corresponding symmetric solutions. |
| first_indexed | 2026-03-24T03:23:25Z |
| format | Article |
| fulltext |
0002
0003
0004
0005
0006
0007
0008
0009
0010
|
| id | umjimathkievua-article-5880 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:25Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c3/80827333d8e43068e8aa5ab8f8792dc3.pdf |
| spelling | umjimathkievua-article-58802020-03-19T09:20:04Z Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations Симметризация и начально-краевые задачи для некоторых классов нелинейных параболических уравнений второго порядка Bazalii, B. V. Tedeev, A. F. Базалий, Б. В. Тедеев, А. Ф. Базалий, Б. В. Тедеев, А. Ф. Initial boundary-value problems are considered for equations of porous medium and $p$-Laplace types. By using the Schwarz symmetrization method, the $L_p$-estimates for the solutions of the original problems are obtained in terms of the analogous estimates for the corresponding symmetric solutions. Розглядаються початково-крайові задачі для рівнянь типу пористого середовища та $p$-Лапласа. За допомогою методу симетрування за Шварцом одержані $L_p$- оцінки розв’язків вихідних задач через аналогічні оцінки відповідних симетричних розв’язків. Institute of Mathematics, NAS of Ukraine 1993-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5880 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 7 (1993); 884–892 Український математичний журнал; Том 45 № 7 (1993); 884–892 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5880/8443 https://umj.imath.kiev.ua/index.php/umj/article/view/5880/8444 Copyright (c) 1993 Bazalii B. V.; Tedeev A. F. |
| spellingShingle | Bazalii, B. V. Tedeev, A. F. Базалий, Б. В. Тедеев, А. Ф. Базалий, Б. В. Тедеев, А. Ф. Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations |
| title | Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations |
| title_alt | Симметризация и начально-краевые задачи для некоторых классов нелинейных параболических уравнений второго порядка |
| title_full | Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations |
| title_fullStr | Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations |
| title_full_unstemmed | Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations |
| title_short | Symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations |
| title_sort | symmetrization and initial boundary-value problems for certain classes of nonlinear second order parabolic equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5880 |
| work_keys_str_mv | AT bazaliibv symmetrizationandinitialboundaryvalueproblemsforcertainclassesofnonlinearsecondorderparabolicequations AT tedeevaf symmetrizationandinitialboundaryvalueproblemsforcertainclassesofnonlinearsecondorderparabolicequations AT bazalijbv symmetrizationandinitialboundaryvalueproblemsforcertainclassesofnonlinearsecondorderparabolicequations AT tedeevaf symmetrizationandinitialboundaryvalueproblemsforcertainclassesofnonlinearsecondorderparabolicequations AT bazalijbv symmetrizationandinitialboundaryvalueproblemsforcertainclassesofnonlinearsecondorderparabolicequations AT tedeevaf symmetrizationandinitialboundaryvalueproblemsforcertainclassesofnonlinearsecondorderparabolicequations AT bazaliibv simmetrizaciâinačalʹnokraevyezadačidlânekotoryhklassovnelinejnyhparaboličeskihuravnenijvtorogoporâdka AT tedeevaf simmetrizaciâinačalʹnokraevyezadačidlânekotoryhklassovnelinejnyhparaboličeskihuravnenijvtorogoporâdka AT bazalijbv simmetrizaciâinačalʹnokraevyezadačidlânekotoryhklassovnelinejnyhparaboličeskihuravnenijvtorogoporâdka AT tedeevaf simmetrizaciâinačalʹnokraevyezadačidlânekotoryhklassovnelinejnyhparaboličeskihuravnenijvtorogoporâdka AT bazalijbv simmetrizaciâinačalʹnokraevyezadačidlânekotoryhklassovnelinejnyhparaboličeskihuravnenijvtorogoporâdka AT tedeevaf simmetrizaciâinačalʹnokraevyezadačidlânekotoryhklassovnelinejnyhparaboličeskihuravnenijvtorogoporâdka |