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Asymptotic behaviour of the lifespan of solutions for a semilinear heat equation in hyperbolic space

Part of: Parabolic equations and systems Partial differential equations

Published online by Cambridge University Press:  30 August 2016

Zhiyong Wang  and
Jingxue Yin
Zhiyong Wang
Affiliation:
Department of Mathematics, Fujian Normal University, Fuzhou 350007, People's Republic of China (wangzhiyong236@163.com)
Jingxue Yin*
Affiliation:
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, People's Republic of China (yjx@scnu.edu.cn)
*
*Corresponding author.
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This paper is concerned with the asymptotic behaviour of the lifespan of solutions for a semilinear heat equation with initial datum λφ(x) in hyperbolic space. The growth rates for both λ → 0 and λ → ∞ are determined.

Keywords

lifespanhyperbolic spaceasymptotic behaviourheat equation

MSC classification

Secondary: 35B44: Blow-up 35K05: Heat equation 35B40: Asymptotic behavior of solutions
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 146 , Issue 5 , October 2016 , pp. 1091 - 1114
Copyright
Copyright © Royal Society of Edinburgh 2016