非齐次障碍问题很弱解的局部正则性(英文)  

Local Regularity of the Very Weak Solutions for Nonhomogeneous Obstacle Problems

作　　者：刘红[1] 佟玉霞[2] 高春霞[3] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002 [2]河北理工大学科技学院,河北唐山063000 [3]河北大学电子与信息科学学院,河北保定071002

出　　处：《宁夏大学学报（自然科学版）》2011年第1期4-7,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：Supported by Natural Science Foundation of Hebei Province(A2011201011);Supported by Youth Foundation of Hebei University(2010Q24)~~

摘　　要：研究了二阶非齐次椭圆方程的障碍问题,给出其很弱解的定义,并利用Hodge分解等工具得到障碍问题很弱解的局部正则性结果.The obstacle problems for second order degenerate nonhomogeneous elliptic equation is studied and the definition of very weak solutions is given by using tools as Hodge decomposition. The higher integrability of the weak derivatives of the solutions is obtained.

关 键 词：非齐次障碍问题 很弱解 局部正则性 

分 类 号：O175.23[理学—数学]