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一类具非局部源抛物型方程组解的一致爆破性质

蒋良军 李慧玲 胡俊

应用数学2009,Vol.22Issue(2):317-325,9.
应用数学2009,Vol.22Issue(2):317-325,9.

一类具非局部源抛物型方程组解的一致爆破性质

Uniform Blow-up Properties for a Parabolic System with Nonlocal Sources

蒋良军 1李慧玲 2胡俊2

作者信息

  • 1. 南京晓庄学院数学系,江苏,南京,210017
  • 2. 东南大学数学系,江苏,南京,210018
  • 折叠

摘要

Abstract

This paper deals with the blow-up properties of positive solutions to a semilinear parabolic system with nonlocal sources,subjected to null Dirichlet boundary conditions.We first obtain some sufficient conditions on the blow-up in a finite time of solutions and a necessary condition for which the two components of the solution blow-up simultaneously,and then establish uniform blow-up profiles in the interior.

关键词

抛物型方程组/非局部源/一致爆破模式

Key words

Parabolic systems/Nonlocal sources/Uniform blow-up profiles

分类

数理科学

引用本文复制引用

蒋良军,李慧玲,胡俊..一类具非局部源抛物型方程组解的一致爆破性质[J].应用数学,2009,22(2):317-325,9.

基金项目

Supported by the National Natural Science Foundation of China(107010024) (107010024)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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