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关于障碍问题很弱解的注记
引用本文:佟玉霞,金殿川,谷建涛.关于障碍问题很弱解的注记[J].宁夏大学学报(自然科学版),2009,30(3):217-219.
作者姓名:佟玉霞  金殿川  谷建涛
作者单位:河北理工大学理学院,河北唐山,063009
摘    要:研究形如divA(x,ū)=B(x,ū)的非齐次椭圆方程的障碍问题的很弱解,给出了非齐次椭圆方程障碍问题很弱解的定义,并获得很弱解的正则性结果.

关 键 词:障碍问题  椭圆方程  Hodge分解

Remarks on Very Weak Solutions of Obstacle Problems
Tong Yuxia,Jin Dianchuan,Gu Jiantao.Remarks on Very Weak Solutions of Obstacle Problems[J].Journal of Ningxia University(Natural Science Edition),2009,30(3):217-219.
Authors:Tong Yuxia  Jin Dianchuan  Gu Jiantao
Institution:Tong Yuxia , Jin Dianchuan , Gu J iantao (School of Science, Hebei Polytechnic University, Tangshan 063009,China)
Abstract:The obstacle problems associated with the nonhomogeneous elliptic equation div A(x,ū)=B(x,ū) is studied.The definition of very weak solutions is given,and the regularity result is obtained.
Keywords:obstacle problem  elliptic equation  Hodge decomposition
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