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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| Date: | 2002 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2002
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| Series: | Нелинейные граничные задачи |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/169228 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Universal bounds for global solutions of nonlinear parabolic equations / M. Fila // Нелинейные граничные задачи. — 2002. — Т. 12. — С. 179-188. — Бібліогр.: 14 назв. — англ. |