Global and non-global solutions of a nonlinear parabolic equation

被引：1

作者：

Guo, JS ^{[1
]}

Guo, YJL ^{[1
]}

Wang, CJ ^{[1
]}

机构：

[1] Natl Taiwan Normal Univ, Dept Math, Taipei 117, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2005年 / 9卷 / 02期

关键词：

nonlinear parabolic equation; forward and backward self-similar solutions; blow-up patterns;

D O I：

10.11650/twjm/1500407795

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the global and non-global existence of positive solutions of a nonlinear parabolic equation. For this, we consider the forward and backward self-similar solutions of this equation. We obtain a family of radial symmetric global solutions which tend to zero as the time tends infinity. Next, we show that there are initial data for which the corresponding solutions blow up in finite time. Finally, we also construct some self-similar single-point blow-up patterns with different oscillations.

引用

页码：187 / 200

页数：14

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