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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| Дата: | 2002 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2002
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| Назва видання: | Нелинейные граничные задачи |
| Онлайн доступ: | http://dspace.nbuv.gov.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 |
irk-123456789-169228 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1692282020-06-09T01:26:28Z Universal bounds for global solutions of nonlinear parabolic equations Fila, M. 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. 2002 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/169228 en Нелинейные граничные задачи Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Fila, M. |
| spellingShingle |
Fila, M. Universal bounds for global solutions of nonlinear parabolic equations Нелинейные граничные задачи |
| author_facet |
Fila, M. |
| author_sort |
Fila, M. |
| title |
Universal bounds for global solutions of nonlinear parabolic equations |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2002 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Нелинейные граничные задачи |
| work_keys_str_mv |
AT filam universalboundsforglobalsolutionsofnonlinearparabolicequations |
| first_indexed |
2023-10-18T22:24:43Z |
| last_indexed |
2023-10-18T22:24:43Z |
| _version_ |
1796155447129931776 |