Boundary value problems for the Poisson equation and bi-analytic functions

Ajay Kumar; Ravi Prakash

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Boundary value problems for the Poisson equation and bi-analytic functions

机译：泊松方程和双解析函数的边值问题

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Explicit representations of the solution to higher-order Poisson equation with Diriohlot boundary conditions are obtained. The equations (partial deriv)_(z-bar)~(n+n)f + (α(partial deriv)~n(partial deriv)_z~mf)-bar = 0 for 1

机译：得到具有Diriohlot边界条件的高阶泊松方程解的显式表示。对于1

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来源
《Complex variables theory and application 》 |2005年第11期| 共13页
作者
Ajay Kumar; Ravi Prakash;
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正文语种 eng
中图分类复分析、复变函数 ;
关键词
Poisson equation; Dirichlet boundary condition; Polyanalytic equations; Green's functions;

机译：泊松方程;狄利克雷边界条件;多元解析方程;格林函数;

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专利

1. Boundary value problems for the Poisson equation and bi-analytic functions [J] . Ajay Kumar, Ravi Prakash Complex variables theory and application . 2005 ,第7a11期

机译：泊松方程和双解析函数的边值问题
2. Block pulse functions for solving fractional Poisson type equations with Dirichlet and Neumann boundary conditions [J] . Jiaquan Xie, Qingxue Huang, Fuqiang Zhao, Boundary value problems . 2017 ,第1期

机译：求解Dirichlet和Neumann边界条件的分数阶泊松型方程的块脉冲函数
3. A finite element method using singular functions for Poisson equations: Mixed boundary conditions [J] . Zhiqiang Cai, Seokchan Kim, Sangdong Kim, Computer Methods in Applied Mechanics and Engineering . 2006 ,第19a22期

机译：泊松方程使用奇异函数的有限元方法：混合边界条件
4. On an explicit form of the Green function of the third boundary value problem for the Poisson equation in a circle [C] . Makhmud A. Sadybekov, Berikbol T. Torebek, Batirkhan Kh. Turmetov International Conference on Analysis and Applied Mathematics . 2014

机译：圆圈中泊松方程的第三边值问题的绿色函数的明确形式
5. Laplace's equation, the nonlinear Poisson equation and the effects of Gaussian white noise on the boundary. [D] . Khader, Karim. 2010

机译：拉普拉斯方程，非线性泊松方程以及高斯白噪声对边界的影响。
6. Accurate Solution of Multi-Region Continuum Biomolecule Electrostatic Problems Using the Linearized Poisson-Boltzmann Equation with Curved Boundary Elements [O] . Michael D. Altman, Jaydeep P. Bardhan, Jacob K. White, -1

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7. Block pulse functions for solving fractional Poisson type equations with Dirichlet and Neumann boundary conditions [O] . 2017

机译：求解Dirichlet和Neumann边界条件的分数阶Poisson型方程的块脉冲函数

Boundary value problems for the Poisson equation and bi-analytic functions

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