## Abstract Theoretical aspects related to the approximation of the semilinear parabolic equation: $u\_t=\Delta u+f(u)$\nopagenumbers\end, with a finite unknown βblowβupβ time __T__~b~ have been studied in a previous work. Specifically, for __Ξ΅__ a small positive number, we have considered coupled
On the blow-up of solutions for some fourth order parabolic equations
β Scribed by Ting Cheng; Gao-Feng Zheng
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 193 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
The universal blow-up of the fourth order parabolic evolution problem
is established. We prove that if the energy of the initial datum is negative, then finite time blow-up occurs. Also we get some nondegeneracy results on blow-up for this problem.
π SIMILAR VOLUMES
We investigate second-term asymptotic behavior of boundary blow-up solutions to the x) is a non-negative weight function. The nonlinearly f is regularly varying at infinity with index Ο > 1 (that is lim uββ f (ΞΎ u)/f (u) = ΞΎ Ο for every ΞΎ > 0) and the mapping f (u)/u is increasing on (0, +β). The ma
In this paper we study the uniqueness question of positive solutions of the two X Ε½ . proved when f satisfies 0f uuf u for u ) 0. Some examples are also given.