Blow-up phenomena for the nonlinear nonlocal porous medium equation under Robin boundary condition

被引：35

作者：

Liu, Yan ^{[1
]}

机构：

[1] Guangdong Univ Finance, Dept Appl Math, Guangzhou 510521, Guangdong, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 66卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Blow-up; Robin boundary condition; Lower bound; Non-local porous medium equation; PARABOLIC PROBLEMS; HEAT-EQUATION; TIME;

D O I：

10.1016/j.camwa.2013.08.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we determine a lower bound for the blow-up time of the nonlinear nonlocal porous medium equation under Robin boundary condition if the solution blows up. The conditions which ensure that the blow-up does not occur are also presented. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：2092 / 2095

页数：4

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