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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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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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