Global existence and blow-up of solutions to reaction-diffusion system with a weighted nonlocal source

被引：0

作者：

蒋良军 ^{[1
]}

王悦生 ^{[2
,3
]}

机构：

[1] College of Mathematics and Information Technology,Nanjing Xiaozhuang University

[2] Shanghai University Press

[3] Shanghai

来源：

Journal of Shanghai University(English Edition) | 2011年 / 15卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper,we study a semi-linear reaction-diffusion system with a weighted nonlocal source,subject to the null Dirichlet boundary condition.Under certain conditions,we prove that the classical solution exists globally and blows up in finite time respectively,and then obtain the uniform blow-up rate in the interior.

引用

页码：501 / 505

页数：5

共 50 条

[21] BLOW-UP VS GLOBAL EXISTENCE FOR A SEMILINEAR REACTION-DIFFUSION SYSTEM IN A BOUNDED DOMAIN
ROSSI, JD
WOLANSKI, N
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1995, 20 (11-12) : 1991 - 2004
[22] Global Existence and Finite Time Blow-up for a Reaction-Diffusion System with Three Components
Huiling Li
Yang Zhang
Acta Applicandae Mathematicae, 2017, 151 : 121 - 148
[23] Global existence and blow-up analysis to a degenerate reaction-diffusion system with nonlinear memory
Du, Lili
Mu, Chunlai
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (02) : 303 - 315
[24] Blow-up and Global Existence of Solutions for a Nonlocal Degenerate Parabolic System
Ling, Zheng Qiu
Wang, Ze Jia
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2012, 33 (02) : 123 - 133
[25] Blow-up and global existence of solutions for a nonlocal degenerate parabolic system
Zheng Qiu Ling
Ze Jia Wang
Lobachevskii Journal of Mathematics, 2012, 33 (2) : 123 - 133
[26] Blow-up for a degenerate reaction-diffusion system with nonlinear nonlocal sources
Du, Lili
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 202 (02) : 237 - 247
[27] Global existence and blow-up of solutions of nonlocal diffusion problems with free boundaries?
Li, Lei
Wang, Mingxin
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 58
[28] Blow-up versus global existence of solutions for reaction-diffusion equations on classes of Riemannian manifolds
Grillo, Gabriele
Meglioli, Giulia
Punzo, Fabio
ANNALI DI MATEMATICA PURA ED APPLICATA, 2023, 202 (03) : 1255 - 1270
[29] Blow-up estimate in a reaction-diffusion equation with nonlinear nonlocal flux and source
Liu, Bingchen
Wu, Guicheng
Sun, Xizheng
Li, Fengjie
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 78 (06) : 1862 - 1877
[30] Blow-up problems for quasilinear reaction diffusion equations with weighted nonlocal source
Ding, Juntang
Shen, Xuhui
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (99) : 1 - 15

← 1 2 3 4 5 →