论文标题
具有浓缩孔的域中的泊松方程
Poisson equation in domains with concentrated holes
论文作者
论文摘要
我们考虑解决方案$ u^\ varepsilon $的泊松问题，dirichlet条件在域上$ω__\ varepsilon $，孔集中在域$ω$的子集的子集上。我们显示$ u^\ varepsilon $收敛到具有简单功能潜力的泊松问题的解决方案。这是Cioranescu和Murat（1997）给出的样本模型的广义结果。他们显示了一个案例的结果，即定期将孔分布在$ω$中。
We consider solutions $u^\varepsilon$ of Poisson problems with the Dirichlet condition on domains $Ω_\varepsilon$ with holes concentrated at subsets of a domain $Ω$ non-periodically. We show $u^\varepsilon$ converges to a solution of a Poisson problem with a simple function potential. This is a generalized result of a sample model given by Cioranescu and Murat (1997). They showed a result for case that holes are distributed at $Ω$ periodically.
