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Life span of solutions of a weakly coupled parabolic system

✍ Scribed by Flávio Dickstein; Miguel Loayza

Book ID
105767070
Publisher
Springer
Year
2007
Tongue
English
Weight
354 KB
Volume
59
Category
Article
ISSN
0044-2275

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📜 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 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 134 KB

where p > 1, ε > 0, is a bounded domain in R N , and ϕ is a continuous function on . It is shown that the blowup time T ε of the solution of this problem satisfies T ε → 1 p-1 ϕ 1-p ∞ as ε → 0. Moreover, when the maximum of ϕ x is attained at one point, we determine the higher order term of T ε whic