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一类非局部退化反应扩散方程组解的存在性

崔国忠 郭从洲 荆焕先 魏保军

郑州大学学报(理学版)2011,Vol.43Issue(4):5-9,27,6.
郑州大学学报(理学版)2011,Vol.43Issue(4):5-9,27,6.

一类非局部退化反应扩散方程组解的存在性

Existence for a Class of Degenerate Reaction-diffusion Equations with Nonlocal Source

崔国忠 1郭从洲 1荆焕先 1魏保军1

作者信息

  • 1. 信息工程大学理学院 河南郑州450001
  • 折叠

摘要

Abstract

The existence for a class of degenerate nonlinear reaction-diffusion equations with nonlocal source was investigated. Firstly, the existence of the solution of the regularization equations with the regularization method, and the existence of classical solution of the reaction-diffusion equations were proved. Secondly, by making use of super and low solution method, the global existence for the nonlinear reaction-diffusion equations was solved. Following the conditions for the parameter to construct different structures of the super solutions of the equations, the global existence conditions of the solutions of the equations were obtained.

关键词

古典解/正则化/上解/整体存在性

Key words

classical solution/ regularization/ super solution/ global existence

分类

数理科学

引用本文复制引用

崔国忠,郭从洲,荆焕先,魏保军..一类非局部退化反应扩散方程组解的存在性[J].郑州大学学报(理学版),2011,43(4):5-9,27,6.

郑州大学学报(理学版)

OA北大核心CSTPCD

1671-6841

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