Blow-up estimates for a semilinear coupled parabolic system

被引：2

作者：

Li, Gang ^{[2
]}

Fan, Ping ^{[2
]}

Zhu, Jiang ^{[1
]}

机构：

[1] MCT, Lab Nacl Computacao Cient, BR-25651075 Petropolis, RJ, Brazil

[2] Nanjing Univ Informat Sci & Technol, Dept Math, Nanjing 210044, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 08期

关键词：

Semilinear parabolic system; Coupled system; Reaction-diffusion equation; Blow-up estimates; Boundary absorption; REACTION-DIFFUSION SYSTEM; CRITICAL EXPONENTS; BOUNDARY-CONDITIONS; EQUATIONS;

D O I：

10.1016/j.aml.2009.01.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work deals with a semilinear parabolic system which is coupled both in the equations and in the boundary conditions. The blow-up phenomena of its positive solutions are studied using the scaling method, the Green function and Schauder estimates. The upper and lower bounds of blow-up rates are then obtained. Moreover we show the influences of the reaction terms and the boundary absorption terms on the blow-up estimates. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1297 / 1302

页数：6

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