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

作　　者：张晓莹[1] 朱茂春[1] 

机构地区：[1]西北工业大学应用数学系,陕西西安710129

出　　处：《纺织高校基础科学学报》2011年第3期377-381,共5页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10871157;11001221);高等学校博士学科点专项科研基金资助项目(200806990032)

摘　　要：研究了一类由光滑向量场构成的退化椭圆方程.借助于Green函数,并引进"非常弱解"的概念,建立了非常弱解的弱Morrey估计,再利用非常弱解和弱解之间的关系,从而得到了这类退化椭圆方程弱解的弱Morrey估计.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 

分 类 号：O174.54[理学—数学]