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一类椭圆型方程弱解的正则性

狄华斐 周道军 郑治波

重庆高教研究2011,Vol.30Issue(5):5-8,4.
重庆高教研究2011,Vol.30Issue(5):5-8,4.

一类椭圆型方程弱解的正则性

Regularity of the weak solutions for a class of elliptic equations

狄华斐 1周道军 1郑治波2

作者信息

  • 1. 云南民族大学数学与计算机科学学院,云南昆明650500
  • 2. 云南师范大学数学学院,云南昆明650092
  • 折叠

摘要

Abstract

In this paper,the regularity of the weak solution to the initial value problem for second-order elliptic equations Lu=f in U under some conditions assumptions was discussed.Through some techniques and methods,the interior regularity of the weak solution was described.These techniques and methods include cut off function,flatten out the boundary,finitely covered theorem,sobolev inequalities,interpolation inequalities,etc.

关键词

椭圆型方程/弱解/截断函数/内部正则性

Key words

elliptic equations/weak solution/cut off functions/interior regularity of the weak solution

分类

数理科学

引用本文复制引用

狄华斐,周道军,郑治波..一类椭圆型方程弱解的正则性[J].重庆高教研究,2011,30(5):5-8,4.

重庆高教研究

OACHSSCD

1673-8012

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