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| 一类椭圆方程很弱解的正则性 | |
| 引用本文： | 金永阳. 一类椭圆方程很弱解的正则性[J]. 应用泛函分析学报, 2002, 4(3): 233-236 |
| 作者姓名： | 金永阳 |
| 作者单位： | 浙江工业大学应用数学系,浙江,杭州,310032 |
| 基金项目： | 国家自然科学基金(19971076)，973项目(G1999075105) |
| 摘 要： | 得到了一类二阶椭圆方程Lu=f很弱解的一个临界情形的正则性结果。它指出：若|f|log^ |f|∈L^1(Ω)，则u∈L^n-2/n(Ω)。另外若对区域以及系数附加一定的正则性条件，并设|f|log^ |f|∈L^1(Ω),则|△u|∈L^n-1/n(Ω)。 |
| 关 键 词： | 很弱解 一致随圆条件 H－L极大函数 |
| 文章编号： | 1009-1327(2002)03-0233-04 |
| 修稿时间： | 2002-01-23 |
Regularity for the Very Weak Solutions of a Class of Elliptic Equation |
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| JIN Yong-yangDept of Math,Zhe Jiang University of Technology,Zhe Jiang,Hangzhou ,China. Regularity for the Very Weak Solutions of a Class of Elliptic Equation[J]. Acta Analysis Functionalis Applicata, 2002, 4(3): 233-236 | |
| Authors: | JIN Yong-yangDept of Math Zhe Jiang University of Technology Zhe Jiang Hangzhou China |
| Affiliation: | JIN Yong-yangDept of Math,Zhe Jiang University of Technology,Zhe Jiang,Hangzhou 310032,China |
| Abstract: | In this paper, we considered the second order elliptic equation: Lu = f, and got a regularity result in limit cases for the very weak solutions of the equation, we show: let |f|log+ |f| , then ; with addition assumption on the domain and coefficients, and futhermore , then . |
| Keywords: | very weak solution uniformly elliptic conditoin H-L maximal function |
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