Finite-time blow-up and global convergence of solutions to a nonlocal parabolic equation with conserved spatial integral

被引：2

作者：

Wang, Heng-Ling ^{[1
]}

Tao, Wei-Run ^{[1
]}

Wang, Xiao-Liu ^{[1
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2018年 / 40卷

关键词：

Blow-up; Asymptotic behaviour; Parabolic equation; Nonlocal term; NEUMANN BOUNDARY-CONDITIONS; DIFFERENTIAL-EQUATION; EXTINCTION; EXISTENCE; BEHAVIOR;

D O I：

10.1016/j.nonrwa.2017.08.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we investigate the evolution behaviour of the solutions to a nonlocal parabolic equation with conserved spatial integral. For the non-global solutions, the blow-up rate for LP norm of the solutions is estimated from below. For several classes of initial data, the convergence of the global solutions is established. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：55 / 63

页数：9

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