Properties of non-simultaneous blow-up solutions in nonlocal parabolic equations

被引：17

作者：

Liu, Bingchen ^{[1
]}

Li, Fengjie ^{[1
]}

机构：

[1] China Univ Petr, Coll Math & Computat Sci, Dongying 257061, Shandong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 02期

关键词：

Non-simultaneous blow-up; Simultaneous blow-up; Total blow-up; Single point blow-up; Blow-up rate; REACTION-DIFFUSION SYSTEM; GLOBAL EXISTENCE;

D O I：

10.1016/j.na.2009.07.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with blow-up solutions in parabolic equations coupled via nonlocal nonlinearities, subject to homogeneous Dirichlet conditions. Firstly, some criteria on non-simultaneous and simultaneous blow-up are given, including four kinds of phenomena: (i) the existence of non-simultaneous blow-up; (ii) the coexistence of non-simultaneous and simultaneous blow-up; (iii) any blow-up must be simultaneous; (iv) any blow-up must be non-simultaneous. Next, total versus single point blow-up are classified completely. Moreover, blow-up rates are obtained for both non-simultaneous and simultaneous blow-up Solutions. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1065 / 1074

页数：10

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