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Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity

โœ Scribed by Filippas, Stathis (author);Herrero, Miguel A. (author);Velazquez, Juan J.L. (author)

Book ID
120148889
Publisher
Royal Society
Year
2000
Tongue
English
Weight
435 KB
Volume
456
Category
Article
ISSN
0962-8444

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Blow-Up of Solutions with Sign Changes f
Blow-Up of Solutions with Sign Changes for a Semilinear Diffusion Equation
โœ Noriko Mizoguchi; Eiji Yanagida ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 117 KB

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 ะˆ 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