有孔区域上一类具非局部边值条件的非线性扩散方程

有孔区域上一类具非局部边值条件的非线性扩散方程

柯媛元¹,², 刘幸东³, 王泽佳¹, 孔丽英³

1. 吉林大学数学学院, 长春 130012; 2. 中山大学数学与计算科学学院, 广州 510275; 3. 肇庆学院数学系, 广东省肇庆 526061

收稿日期:2007-02-02 修回日期:1900-01-01 出版日期:2007-05-26 发布日期:2007-05-26
通讯作者: 王泽佳

A Class of Nonlinear Diffusion Equations withNonlocal Boundary Value Condition in Perforated Domains

KE Yuanyuan¹,², LIU Xingdong³, WANG Zejia¹, KONG Liying³

1. College of Mathematics, Jilin University, Changchun 130012, China;2. School of Mathematics and Computational Science, Sun YatSen University, Guangzhou 510275, China;3. Department of Mathematics, Zhaoqing University, Zhaoqing 526061, Guangdong Province, China

Received:2007-02-02 Revised:1900-01-01 Online:2007-05-26 Published:2007-05-26
Contact: WANG Zejia

摘要/Abstract

摘要： 利用打靶法、上下解方法和不动点定理等工具, 研究有孔区域上一类具非局部边值条件的非线性扩散方程. 分别在径向稳态情形、非径向稳态情形及非稳态情形下, 得到了方程解的存在性以及孔点的性质.

关键词: 有孔区域, 非局部边值条件, 非线性扩散方程

Abstract: The shooting method, sub and super solution method, and fixed point theorem were used to study a class of nonlinear diffusion equations with nonlocal boundary value condition in perforated domains. We discussed the existence of the solutions and the removability of the orifice at the radial st eady states, nonradial steady states and nonsteady states.

Key words: perforated domains, nonlocal boundary value condition, nonlinear diffusion equations

中图分类号:

O175.8

柯媛元,, 刘幸东, 王泽佳, 孔丽英. 有孔区域上一类具非局部边值条件的非线性扩散方程[J]. J4, 2007, 45(03): 383-384.

KE Yuanyuan,, LIU Xingdong, WANG Zejia, KONG Liying. A Class of Nonlinear Diffusion Equations withNonlocal Boundary Value Condition in Perforated Domains[J]. J4, 2007, 45(03): 383-384.

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