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J4 ›› 2010, Vol. 45 ›› Issue (4): 95-99.

• 论文 • 上一篇    下一篇

一类散度形式椭圆型方程弱下解的局部性质

樊自安   

  1. 孝感学院数学与统计学院, 湖北  孝感 432000
  • 收稿日期:2009-03-02 出版日期:2010-04-10 发布日期:2010-05-19
  • 作者简介:樊自安(1972-),男,讲师,硕士,研究方向为偏微分方程.Email:fza2006@tom.com

One local character of sub-solutions of partial differential equations of divergence form

FAN Zi-an   

  1. Department of Mathematics and Statistics, Xiaogan University, Xiaogan 432000, Hubei, China
  • Received:2009-03-02 Online:2010-04-10 Published:2010-05-19

摘要:

De Giorgi迭代方法是处理椭圆型偏微分方程弱解性质的一种重要方法。运用De Giorgi的迭代技巧,讨论了一类散度形式椭圆型偏微分方程弱下解的局部性质。

关键词: 散度形式;弱下解;椭圆型方程;局部性质

Abstract:

The De Giorgi iteration method is an importance method with which to deal with characters of subsolutions of elliptic partial differential equations of divergence form. Local estimates of subsolutions of common elliptic partial differential equations of divergence form are studied based on De Giorgi iteration techniques.
 

Key words: divergence form; subsolutions; elliptic; local characters

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