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, where C(...
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| Опубліковано в: : | Нелинейные граничные задачи |
|---|---|
| Дата: | 2002 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| 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| id |
nasplib_isofts_kiev_ua-123456789-169228 |
|---|---|
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Universal bounds for global solutions of nonlinear parabolic equations |
| spellingShingle |
Universal bounds for global solutions of nonlinear parabolic equations Fila, M. |
| title_short |
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_sort |
universal bounds for global solutions of nonlinear parabolic equations |
| author |
Fila, M. |
| author_facet |
Fila, M. |
| publishDate |
2002 |
| language |
English |
| container_title |
Нелинейные граничные задачи |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
0236-0497 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/169228 |
| 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. |
| work_keys_str_mv |
AT filam universalboundsforglobalsolutionsofnonlinearparabolicequations |
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2025-12-07T15:18:03Z |
| last_indexed |
2025-12-07T15:18:03Z |
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1850863185490345984 |