## Communicated by H. A. Levine Consider the problem
Location of blow-up set for a semilinear parabolic equation with large diffusion
โ Scribed by Kazuhiro Ishige; Noriko Mizoguchi
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 233 KB
- Volume
- 327
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
0 with the Dirichlet, Neumann, or periodic boundary condition. Here ) 0 is a ลฝ . parameter, and f is an odd function of u satisfying f ะ 0 ) 0 and some convexity ลฝ . w x condition. Let z U be the number of times of sign changes for U g C 0, 1 . It is ร 4 shown that there exists an increasing sequenc
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