Life span of solutions for a semilinear parabolic problem with small diffusion
Life span of solutions for a semilinear parabolic problem with small diffusion
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DOI：
10.1006/jmaa.2001.7530
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发表时间：
2001-09
影响因子：
1.3
通讯作者：
N. Mizoguchi;E. Yanagida
中科院分区：
文献类型：
--
作者：
N. Mizoguchi;E. Yanagida
Abstract This paper is concerned with the initial boundary value problem[formula]where p > 1, e > 0, Ω is a bounded domain in RN, and ϕ is a continuous function on Ω. It is shown that the blowup time T(e) of the solution of this problem satisfies T(e) → 1 p − 1 |∂| 1 − p ∞ as e → 0. Moreover, when the maximum of |ϕ(x)| is attained at one point, we determine the higher order term of T(e) which reflects the pointedness of the peak of |ϕ|. The proof is based on a careful construction of super- and subsolutions.
