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Hardy Spaces and the L Sup p-Neumann Problem for Laplace's Equation in a Lipschitz Domain

机译：Lipschitz域中Laplace方程的Hardy空间和L sup p-Neumann问题

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Neuman's problem in Lipschitz domain with data in L sup p is solved. The method of estimating the maximal function of gradients of solutions using regularity theory and the integral equation method are used. The Fredholm theory is not completely applicable.

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作者
Dahlberg, B. E. J.; Kenig, C. E.;
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年度 1985
页码 p.1-32
总页数 32
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Harmonic analysis; Neumann problem; Lipschitz condition; Boundary value problems; Nonlinear evolution equations; Operators (Mathematics);

机译：谐波分析; Neumann问题; Lipschitz条件;边值问题;非线性演化方程;算子（数学）;

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专利

1. 发展p—Laplace方程与分界面的Lipschitz连续性 [J] . 赵俊宁, 袁洪君东北数学：英文版 . 1992,第001期
2. The Regularity Problems with Data in Hardy–Sobolev Spaces for Singular Schrödinger Equation in Lipschitz Domains [J] . Xiangxing Tao Potential Analysis . 2012,第3期

机译：Lipschitz域中奇异Schrödinger方程在Hardy-Sobolev空间中的数据正则性问题
3. The Regularity Problems with Data in Hardy-Sobolev Spaces for Singular Schr?dinger Equation in Lipschitz Domains [J] . Tao X. Potential analysis: An international journal devoted to the interactions between potential theory, probability theory, geometry and functional analysis . 2012,第3期

机译：Lipschitz域中奇异Schrdinger方程在Hardy-Sobolev空间中的数据正则性问题
4. BOUNDARY VALUE PROBLEMS AND HARDY SPACES ASSOCIATED TO THE HELMHOLTZ EQUATION IN LIPSCHITZ DOMAINS [J] . Mitrea M. Journal of Mathematical Analysis and Applications . 1996,第3期

机译：LIPSCHITZ域中HELMHOLTZ方程的边值问题和硬性空间
5. REMOVABLE SINGULARITIES FOR ANALYTIC FUNCTIONS IN HARDY SPACES, BMO AND LOCALLY LIPSCHITZ SPACES [C] . Anders Bjorn International ISAAC Congress . 2003

机译：Hardy Spaces，BMO和局部Lipschitz空间中分析功能的可拆卸奇点
6. L('p) regularity of solutions of the mixed boundary problem for Laplace's equation on a Lipschitz graph domain. [D] . Sykes, Jeffery D. 1999

机译：Lipschitz图域上Laplace方程的混合边界问题的解的L（'p）正则性。
7. The Laplace Equation in Space [O] . Edward Kasner, John De Cicco 1945

机译：空间中的拉普拉斯方程
8. Boundary Value Problems and Hardy Spaces Associated to the Helmholtz Equation in Lipschitz Domains [O] . Mitrea Marius 1996

机译：Lipschitz域中与Helmholtz方程相关的边值问题和Hardy空间

Hardy Spaces and the L Sup p-Neumann Problem for Laplace's Equation in a Lipschitz Domain

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