压力函数的调和分解及其估计  

Harmonic decomposition of pressure function and its estimate

作　　者：容跃堂[1] 高海亮[1,2] 

机构地区：[1]西安工程大学理学院,陕西西安710048 [2]吉林大学图书馆,吉林长春130012

出　　处：《纺织高校基础科学学报》2010年第3期273-278,共6页Basic Sciences Journal of Textile Universities

摘　　要：研究了压力函数的调和分解及其估计.应用Simader关于Laplace方程弱解的Lp估计的结果和R.Müller给定的B ipotential算子的变分估计,将压力函数分解成了一个可测函数p0和奇异部分ph~,并证明了ph~是调和的.进一步,为p0,ph~提供了最理想的先验估计.Harmonic decomposition of pressure functions and its estimate are studied.By using Simader′s result regarding Lp-estimates for the weak solutions to the Laplace equation and the variational estimate for the Bipotential operator which has been established by R.Müller,the pressure function is decomposed into a measurable function p0 and the singular part p～h,and it is proved that p～h is a harmonic function.Furthermore,the optimal apriori estimates for the components p0 and p～h are provided.

关 键 词：调和分解 局部压力的估计 变分估计 

分 类 号：O175.29[理学—数学] O373[理学—基础数学]