| 压力函数的调和分解及其估计 |
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| 引用本文： | 容跃堂,高海亮. 压力函数的调和分解及其估计[J]. 纺织高校基础科学学报, 2010, 23(3): 273-278 |
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| 作者姓名： | 容跃堂 高海亮 |
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| 作者单位： | 1. 西安工程大学,理学院,陕西,西安,710048
2. 西安工程大学,理学院,陕西,西安,710048;吉林大学,图书馆,吉林,长春,130012 |
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| 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.
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| 关 键 词： | 调和分解 局部压力的估计 变分估计 |
Harmonic decomposition of pressure function and its estimate |
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| RONG Yue-tang,GAO Hai-liang. Harmonic decomposition of pressure function and its estimate[J]. Basic Sciences Journal of Textile Universities, 2010, 23(3): 273-278 |
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| Authors: | RONG Yue-tang GAO Hai-liang |
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| Affiliation: | 1.Science of School,Xi′an Polytechnic University,Xi′an 710048,China; 2.Library,Jilin University,Changchun 130012,China) |
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| Abstract: | 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. |
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| Keywords: | harmonic decomposition estimate of a local pressure variational estimate |
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