双调和方程弱解的内部正则性(英文)  

Interior regularity of weak solutions for biharmonic equations

作　　者：郭玉劲[1] 杨芬[1] 

机构地区：[1]华中师范大学数学与统计学学院非线性分析实验室,武汉430079

出　　处：《华中师范大学学报（自然科学版）》2003年第2期138-142,共5页Journal of Central China Normal University：Natural Sciences

基　　金：Research was supported by the Natural Science Foundation of China(1 0 1 71 0 3 6)

摘　　要：本文考虑了下述线性双调和方程Δ2u-a(x)u=f(x)　在Ω中,u∈H2(Ω),(*)其中Ω RN,N>4.对于一类函数a(x),f(x),采用差分方法给出了弱解的内部正则性结果.其结论亦适合于一些非线性双调和方程.　In this paper we consider the biharmonic equationsΔ2u-a(x)u=f(x) in Ω, u∈H2(Ω),(*) where Ω is a bounded domain in RN,N>4.For a large class of functions a(x) and f(x),some results about the interior regularity of weak solutions for(*) are obtained by the analysis of certain difference quotients. Our results are also fit for some nonlinear biharmonic equations.

关 键 词：双调和方程 弱解 内部正则性 差分方法 非线性双调和方程 偏微分方程 

分 类 号：O175.2[理学—数学] O241.82[理学—基础数学]