Universal bounds for global solutions of nonlinear parabolic equations
In this survey we consider parabolic problems for which blow-up in finite time occurs for some initial data but global positive solutions may also exist. We present results on universal L∞-bounds for global positive solutions. These bounds will be of the form
 u(x,t) ≤ C(τ), x ∊ Ω t ≥ τ ›0,...
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| Опубліковано в: : | Нелинейные граничные задачи |
|---|---|
| Дата: | 2002 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2002
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/169228 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Universal bounds for global solutions of nonlinear parabolic equations / M. Fila // Нелинейные граничные задачи. — 2002. — Т. 12. — С. 179-188. — Бібліогр.: 14 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862665704137818112 |
|---|---|
| author | Fila, M. |
| author_facet | Fila, M. |
| citation_txt | Universal bounds for global solutions of nonlinear parabolic equations / M. Fila // Нелинейные граничные задачи. — 2002. — Т. 12. — С. 179-188. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелинейные граничные задачи |
| description | In this survey we consider parabolic problems for which blow-up in finite time occurs for some initial data but global positive solutions may also exist. We present results on universal L∞-bounds for global positive solutions. These bounds will be of the form
u(x,t) ≤ C(τ), x ∊ Ω t ≥ τ ›0, where C(τ ) › 0 does not depend on initial data.
|
| first_indexed | 2025-12-07T15:18:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169228 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-12-07T15:18:03Z |
| publishDate | 2002 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Fila, M. 2020-06-08T16:21:01Z 2020-06-08T16:21:01Z 2002 Universal bounds for global solutions of nonlinear parabolic equations / M. Fila // Нелинейные граничные задачи. — 2002. — Т. 12. — С. 179-188. — Бібліогр.: 14 назв. — англ. 0236-0497 https://nasplib.isofts.kiev.ua/handle/123456789/169228 In this survey we consider parabolic problems for which blow-up in finite time occurs for some initial data but global positive solutions may also exist. We present results on universal L∞-bounds for global positive solutions. These bounds will be of the form
 u(x,t) ≤ C(τ), x ∊ Ω t ≥ τ ›0, where C(τ ) › 0 does not depend on initial data. en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи Universal bounds for global solutions of nonlinear parabolic equations Article published earlier |
| spellingShingle | Universal bounds for global solutions of nonlinear parabolic equations Fila, M. |
| title | Universal bounds for global solutions of nonlinear parabolic equations |
| title_full | Universal bounds for global solutions of nonlinear parabolic equations |
| title_fullStr | Universal bounds for global solutions of nonlinear parabolic equations |
| title_full_unstemmed | Universal bounds for global solutions of nonlinear parabolic equations |
| title_short | Universal bounds for global solutions of nonlinear parabolic equations |
| title_sort | universal bounds for global solutions of nonlinear parabolic equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169228 |
| work_keys_str_mv | AT filam universalboundsforglobalsolutionsofnonlinearparabolicequations |