BLOW-UP AT SPACE INFINITY OF A SOLUTION WITH A MOVING SINGULARITY FOR A SEMILINEAR PARABOLIC EQUATION

被引：2

作者：

Sato, Shota ^{[1
]}

机构：

[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2011年 / 10卷 / 04期

关键词：

Semilinear parabolic equation; moving singularity; blow-up at space infinity; critical exponent; HEAT-EQUATIONS; DIFFUSION;

D O I：

10.3934/cpaa.2011.10.1225

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Cauchy problem for a parabolic partial differential equation with a power nonlinearity. It was shown in our previous paper that in some parameter range, the problem has a solution with a moving singularity that becomes anomalous in finite time. Our concern is a blow-up solution with a moving singularity. In this paper, we show that there exists a solution with a moving singularity such that it blows up at space infinity.

引用

页码：1225 / 1237

页数：13

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