Global existence and blow-up of solutions for p -Laplacian evolution equation with nonlinear memory term and nonlocal boundary condition

Boundary value problems

Jianyun Zhang¹  Zhong Bo Fang¹ 

[1] School of Mathematical Sciences, Ocean University of China, Qingdao, P.R. China

关键词: p-Laplacian evolution equation;    nonlinear memory;    global existence;    blow-up;    weight function;   

DOI  :  10.1186/1687-2770-2014-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we deal with an initial boundary value problem for a p-Laplacian evolution equation with nonlinear memory term and inner absorption term subject to a weighted linear nonlocal boundary condition. We find the effects of a weighted function as regards determining blow-up of nonnegative solutions or not and establish the precise blow-up estimate for the linear diffusion case under some suitable conditions.

【 授权许可】

CC BY