%0 Journal Article
%T A DIMENSION-REDUCING METHOD FOR THE POISSON EQUATION<br>Poisson 方程的一个降维算法
%A ZHANG WEI-TAO
%A <br>张维弢
%J 系统科学与数学
%D 1992
%I 
%X In this paper,the poisson equation with mixed boundary conditions is considered in a thinplate in R~3.By use of the asymptotic expansion,the three-dimensional problem is transformedinto two-dinensional solutions.The Sobolev in equality is further improved in the limiting cases.From this inequality,the maximum of the singular part of the asymptotic expansion of theequation is estimated.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=18433EB5D2E3284907E50E037C6FE5C1&yid=F53A2717BDB04D52&vid=59906B3B2830C2C5&iid=CA4FD0336C81A37A&sid=31C8A29AC9A501BB&eid=85534257620CB503&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0