Nonexistence and longtime behaviors of solutions to a class of nonlinear degenerate parabolic equations not in divergence form

被引：0

作者：

Yu-dong Sun

Yi-min Shi

Min Wu

机构：

[1] Guizhou Minzu University,School of Science

[2] Northwestern Polytechnical University,Department of Applied Mathematics

来源：

Acta Mathematicae Applicatae Sinica, English Series | 2016年 / 32卷

关键词：

nonexistence; nonlinear degenerate parabolic equations; weak solution; blow-up; 35A01; 35D30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study the nonexistence and longtime behavior of weak solution for the degenerate parabolic equation ∂tun = umdiv(|∇um|p−2∇um) + γ|∇um|p + βun with zero boundary condition. Blow-up time is derived when the blow-up does occur.

引用

页码：327 / 332

页数：5

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