一类椭圆型方程Dirichlet外问题的奇摄动

数学季刊 ›› 2003, Vol. 18 ›› Issue (1): 1-6.

• • 下一篇

一类椭圆型方程Dirichlet外问题的奇摄动

Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, China

收稿日期:2000-12-12 出版日期:2003-03-30 发布日期:2024-04-18
作者简介:XIE Feng（1976－）,male ,native of Suixi ,Anhui ,doctor degree candidate of Shanghai Jiaotong University , engages in differential equation .
基金资助:
Supported by the National Science Foundation of China（10071048）

Singular Perturbation of a Class of Dirichlet Exterior Problems for Elliptic Equations

Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, China

Received:2000-12-12 Online:2003-03-30 Published:2024-04-18
About author:XIE Feng（1976－）,male ,native of Suixi ,Anhui ,doctor degree candidate of Shanghai Jiaotong University , engages in differential equation .
Supported by:
Supported by the National Science Foundation of China（10071048）

摘要/Abstract

摘要： In this paper ,we consider a class of singularly perturbed Dirichlet exterior problems for ellip- tic equations． Under the appropriate conditions we construct the formally asymptotic solution of the problem described． Using differential inequaltiy theory we prove the existence of the solution of original problem and the uniforly validity of the formal solution .

关键词: singular perturbation, elliptic equation, differential inequality

Abstract: In this paper ,we consider a class of singularly perturbed Dirichlet exterior problems for ellip- tic equations． Under the appropriate conditions we construct the formally asymptotic solution of the problem described． Using differential inequaltiy theory we prove the existence of the solution of original problem and the uniforly validity of the formal solution .

Key words: singular perturbation, elliptic equation, differential inequality

中图分类号:

O175．25

谢峰. 一类椭圆型方程Dirichlet外问题的奇摄动[J]. 数学季刊, 2003, 18(1): 1-6.

XIE Feng. Singular Perturbation of a Class of Dirichlet Exterior Problems for Elliptic Equations[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(1): 1-6.

[1]	范俊杰, 李光芳, 套格图桑. 耦合KdV方程组的复合型新解[J]. 数学季刊, 2021, 36(1): 41-48.
[2]	刘鸣放, 曹济伟, 陈绍春. 四阶椭圆方程的一个十六参数能量正交四面体元[J]. 数学季刊, 2011, 26(3): 388-393.
[3]	呼青英, 朱碧, 张宏伟. 具动力边界条件椭圆方程解的衰减性[J]. 数学季刊, 2009, 24(3): 365-369.
[4]	李兴校, 曹林芬 . 黎曼流形上一类非线性偏微分方程正解的唯一性和不存在性结果[J]. 数学季刊, 2007, 22(3): 344-351.
[5]	徐志庭, 马东魁 . 二阶拟线性椭圆型方程振动性的积分平均方法[J]. 数学季刊, 2003, 18(4): 349-357.
[6]	葛红霞. 奇摄动非线性边值问题[J]. 数学季刊, 2003, 18(1): 38-43.
[7]	邱子华, 叶瑞芬. 无界域上非标准增长椭圆方程解的一个性质[J]. 数学季刊, 1999, 14(1): 26-34.
[8]	袁俭. 一类椭圆型方程的正解[J]. 数学季刊, 1997, 12(1): 76-80.
[9]	莫嘉琪, 刘树德. 一类四阶非线性奇摄动问题[J]. 数学季刊, 1997, 12(1): 35-37.

一类椭圆型方程Dirichlet外问题的奇摄动

Singular Perturbation of a Class of Dirichlet Exterior Problems for Elliptic Equations

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 9

编辑推荐

Metrics

本文评价