Multiple blowup of solutions for a semilinear heat equation

被引：0
作者：
Noriko Mizoguchi
机构：
[1] Tokyo Gakugei University,Department of Mathematics
来源：
Mathematische Annalen | 2005年 / 331卷
关键词：
Cauchy Problem; Heat Equation; Regular Solution; Supremum Norm; Proper Solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The present paper is concerned with a Cauchy problem for a semilinear heat equation [inline-graphic not available: see fulltext] with u0 ∈ L∞(RN). A solution u of (P) is said to blow up at t=T<+∞ if  lim supt↗T|u(t)|∞=+∞ with the supremum norm |·|∞ in RN. We show that if [inline-graphic not available: see fulltext] and N≥11, then there exists a proper solution u of (P) which blows up at t=T1, becomes a regular solution for t ∈ (T1,T2) and blows up again at t=T2 for some T1,T2 with 0<T1<T2<+∞.
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收藏
页码：461 / 473
页数：12
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