GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS FOR A QUASILINEAR PARABOLIC EQUATION WITH ABSORPTION AND NONLINEAR BOUNDARY CONDITION

被引：1

作者：

Ahmed, Iftikhar ^{[1
]}

Mu, Chunlai ^{[1
]}

Zheng, Pan ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2014年 / 5卷 / 02期

关键词：

Global existence; Blow-up; Quasilinear parabolic equation; Nonlinear boundary condition;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the evolution r-Laplacian equation with absorption and nonlinear boundary condition. By using differential inequality techniques, global existence and blow-up criteria of nonnegative solutions are determined. Moreover, upper bound of the blow-up time for the blow-up solution is obtained.

引用

页码：147 / 153

页数：7

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