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Life span of solutions with large initial data for a class of coupled parabolic systems

✍ Scribed by Xiaojing Xu, Zhuan Ye

Book ID
120780914
Publisher
Springer
Year
2012
Tongue
English
Weight
227 KB
Volume
64
Category
Article
ISSN
0044-2275

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πŸ“œ SIMILAR VOLUMES

Life Span of Solutions for a Semilinear
Life Span of Solutions for a Semilinear Parabolic Problem with Small Diffusion
✍ Noriko Mizoguchi; Eiji Yanagida πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 134 KB

where p > 1, Ξ΅ > 0, is a bounded domain in R N , and Ο• is a continuous function on . It is shown that the blowup time T Ξ΅ of the solution of this problem satisfies T Ξ΅ β†’ 1 p-1 Ο• 1-p ∞ as Ξ΅ β†’ 0. Moreover, when the maximum of Ο• x is attained at one point, we determine the higher order term of T Ξ΅ whic