This paper studies the problem ยจs dยจq ยจq y 1 y cos x ยจp , for 0x -1 and t ) 0, ลฝ . for x s 0, 1 and t ) 0, x ยจx, 0 s ยจx , for 0x -1, ## ลฝ . ลฝ . 0 where 1qp, d ) 0. It is shown that for large initial data if p -2 q y 1 or p s 2q y 1 but d is small, then the positive solution blows up in finite t
A note on blow-up analysis for a system of semilinear parabolic equations
โ Scribed by Xiaowei An; Xianfa Song
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 203 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1468-1218
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๐ SIMILAR VOLUMES
This work deals with a semilinear parabolic system which is coupled both in the equations and in the boundary conditions. The blow-up phenomena of its positive solutions are studied using the scaling method, the Green function and Schauder estimates. The upper and lower bounds of blow-up rates are t
## Communicated by H. A. Levine Consider the problem
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## Abstract Theoretical aspects related to the approximation of the semilinear parabolic equation: $u\_t=\Delta u+f(u)$\nopagenumbers\end, with a finite unknown โblowโupโ time __T__~b~ have been studied in a previous work. Specifically, for __ฮต__ a small positive number, we have considered coupled