Asymptotic behavior of Poisson integrals in a cylinder and its application to the representation of harmonic functions

Qiao Lei

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Asymptotic behavior of Poisson integrals in a cylinder and its application to the representation of harmonic functions

机译：盆地中泊松积分的渐近行为及其在谐波函数表示中的应用

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Our first aim in this paper is to deal with asymptotic behavior of Poisson integrals in a cylinder. Next Carleman's formula for harmonic functions in it is also proved. As an application of them, we finally give the integral representation of harmonic functions in a cylinder. (C) 2018 Elsevier Masson SAS. All rights reserved.

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《Bulletin des sciences mathematiques》 |2018年第2018期|共16页
作者
Qiao Lei;
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作者单位

Henan Univ Econ &

Law Sch Math &

Informat Sci Zhengzhou 450046 Henan Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Asymptotic behavior; Dirichlet problem; Integral representation;

机译：渐近行为;Dirichlet问题;积分表示;

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专利

1. Asymptotic behavior of Poisson integrals in a cylinder and its application to the representation of harmonic functions [J] . Qiao Lei Bulletin des sciences mathematiques . 2018,第期

机译：盆地中泊松积分的渐近行为及其在谐波函数表示中的应用
2. Asymptotic behavior of best approximations of classes of Poisson integrals of functions from Hω [J] . Serdyuk A.S., Sokolenko I.V. Journal of Approximation Theory . 2011,第11期

机译：Hω函数的泊松积分类的最佳逼近的渐近行为
3. Integral representation and asymptotic behavior ofharmonic functions in half space [J] . Yan Hui Zhang, Kit Ian Kou, Guan Tie Deng Journal of Differential Equations . 2014,第8期

机译：半空间中调和函数的积分表示和渐近行为
4. ALGEBRAIC BETHE ANSATZ APPROACH TO CORRELATION FUNCTIONS: FROM EXACT REPRESENTATIONS ON THE LATTICE TO ASYMPTOTIC BEHAVIOR [C] . VéRONIQUE TERRAS International Congress on Mathematical Physics . 2010

机译：代数Bethe Ansatz相关函数方法：从格子上的精确表示到渐近行为
5. Asymptotic behavior of positive harmonic functions in certain unbounded domains. [D] . Ramachandran, Koushik. 2014

机译：正谐波函数在某些无界域中的渐近行为。
6. Asymptotic solution of the cylindrical nonlinear Poisson–Boltzmann equation at low salt concentration: Analytic expressions for surface potential and preferential interaction coefficient [O] . Irina A. Shkel, Oleg V. Tsodikov, M. Thomas Record Jr. 2002

机译：低盐浓度时圆柱非线性Poisson-Boltzmann方程的渐近解：表面势和优先相互作用系数的解析表达式
7. Retraction Note: A new application of boundary integral behaviors of harmonic functions to the least harmonic majorant [O] . Minghua Han, Jianguo Sun, Gaoying Xue 2020

机译：收缩注意：谐波函数边界积分行为对最少的谐波集长的新应用

Asymptotic behavior of Poisson integrals in a cylinder and its application to the representation of harmonic functions

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