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<+∞.

引用

页码：461 / 473

页数：12

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