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光滑向量场构成的退化椭圆方程弱解的弱Morrey估计

张晓莹 朱茂春

纺织高校基础科学学报2011,Vol.24Issue(3):377-381,5.
纺织高校基础科学学报2011,Vol.24Issue(3):377-381,5.

光滑向量场构成的退化椭圆方程弱解的弱Morrey估计

The weak Morrey estimates for weak solutions to a kind of degenerate elliptic equations involving smooth vector fields

张晓莹 1朱茂春1

作者信息

  • 1. 西北工业大学应用数学系,陕西西安710129
  • 折叠

摘要

Abstract

A kind of degenerate elliptic equations involving smooth vector fields are studied. With the help of Green function and the notion "very weak solution", the weak Morrey estimates for the very weak solution are established. Furthermore, based on the relationship between the weak solution and the very weak solution, the weak Morrey estimates for the weak solutions of such degenerate elliptic equations are eventually established.

关键词

退化椭圆方程/Green函数/弱Morrey估计

Key words

degenerate elliptic equations/green functionl/weak morrey estimates

分类

数理科学

引用本文复制引用

张晓莹,朱茂春..光滑向量场构成的退化椭圆方程弱解的弱Morrey估计[J].纺织高校基础科学学报,2011,24(3):377-381,5.

基金项目

国家自然科学基金资助项目(10871157,11001221) (10871157,11001221)

高等学校博士学科点专项科研基金资助项目(200806990032) (200806990032)

纺织高校基础科学学报

OACSTPCD

1006-8341

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