GLOBAL AND BLOW-UP SOLUTIONS FOR THE NONLOCAL p-LAPLACIAN EVOLUTION EQUATION WITH WEIGHTED NONLINEAR NONLOCAL BOUNDARY CONDITION

被引：6

作者：

Fang, Zhong Bo ^{[1
]}

Zhang, Jianyun ^{[1
]}

机构：

[1] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2014年 / 26卷 / 02期

关键词：

p-Laplacian evolution equation; nonlocal boundary condition; weight function; global existence; blow-up; REACTION-DIFFUSION EQUATIONS; POROUS-MEDIUM EQUATION; PARABOLIC EQUATIONS; DECREASING PROPERTY; HEAT-EQUATION; EXISTENCE; ROLES;

D O I：

10.1216/JIE-2014-26-2-171

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate global existence and blow-up properties of nonnegative solutions to a nonlocal p-Laplacian evolution equation with weighted nonlinear nonlocal boundary condition. By using the method of upper and lower solutions, we consider some effects of weight function and nonlinear exponent on the global and blow-up solutions. In addition, we show the blow-up rate estimate, blow-up profile and blow-up set for linear diffusion case.

引用

页码：171 / 196

页数：26

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