Life span of positive solutions for a semilinear heat equation with general non-decaying initial data

被引：7

作者：

Ozawa, Tohru ^{[1
]}

Yamauchi, Yusuke ^{[1
]}

机构：

[1] Waseda Univ, Dept Appl Phys, Tokyo 1698555, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 379卷 / 02期

关键词：

Life span; Semilinear heat equation; Cauchy problem; Blow up; LINEAR PARABOLIC EQUATIONS; BLOW-UP; CAUCHY-PROBLEM; BEHAVIOR;

D O I：

10.1016/j.jmaa.2011.01.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove upper bounds on the life span of positive solutions for a semilinear heat equation. For non-decaying initial data, it is well known that the solutions blow up in finite time. We give two types estimates of the life span in terms of the limiting values of the initial data in space. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：518 / 523

页数：6

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