Blow-up of Solutions to Quasilinear Parabolic Equations with Singular Absorption and a Positive Initial Energy

被引：3

作者：

Guo, Bin ^{[1
]}

Gao, Wenjie ^{[1
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期

关键词：

Quasilinear parabolic; blow-up in finite time; positive initial energy; LOWER BOUNDS; TIME;

D O I：

10.1007/s00009-015-0660-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors prove that the solution blows up in a finite time for a larger class of initial data, namely positive initial energy. The results generalize and improve that of Giacomoni et al. (J Math Anal Appl 410:607-624, 2014). Furthermore, a lower bound estimate about blow-up time is also established. Finally, two examples are given in the paper to show the existence of the initial datum satisfying the conditions in the main theorem.

引用

页码：2853 / 2861

页数：9

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