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

被引：0

作者：

Bin Guo

Wenjie Gao

机构：

[1] Jilin University,School of Mathematics

来源：

Mediterranean Journal of Mathematics | 2016年 / 13卷

关键词：

Quasilinear parabolic; blow-up in finite time; positive initial energy; 35K55; 35K40; 35B65;

D O I：

暂无

中图分类号：

学科分类号：

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：8

共 12 条

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