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On a spectrum of blow-up patterns for a higher-order semilinear parabolic equation

โœ Scribed by Galaktionov, V. A.


Book ID
120148917
Publisher
The Royal Society
Year
2001
Tongue
English
Weight
462 KB
Volume
457
Category
Article
ISSN
0962-8444

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A Note on a Question of Blow-Up for Semi
โœ Mingxin Wang; Qin Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 138 KB

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