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Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition, I

✍ Scribed by L. E. Payne; G. A. Philippin; S. Vernier Piro


Publisher
Springer
Year
2010
Tongue
English
Weight
177 KB
Volume
61
Category
Article
ISSN
0044-2275

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The paper deals with the blow-up rate of positive solutions to the system l 11 l 12 l 21 l 22 Ε½ . u s u q u Β¨, Β¨s Β¨q u Β¨with boundary conditions u 1, t s t x x t x x x Ε½ p 11 p 12 .Ε½ . Ε½ . Ε½ p 21 p 22 .Ε½ . u Β¨1, t and Β¨1, t s u Β¨1, t . Under some assumptions on the x Ε½ . Ε½ . Ε½ . matrices L s l and

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## This paper deals with the blow-up rate estimates of positive solutions for semilinear parabolic systems with nonlinear boundary conditions. The upper and lower bounds of blow-up rates are obtained.