scholarly journals Solution of the Dirichlet and the Neumann problem for the Poisson equation on a surface with the help of Green function

1967 ◽  
Vol 092 (1) ◽  
pp. 81-88
Author(s):  
Jiří Štepánek
Keyword(s):  
Green Function ◽  
Neumann Problem ◽  
Poisson Equation ◽  
The Poisson Equation ◽  
The Neumann Problem

scholarly journals Nonhomogeneous Neumann problem for the Poisson equation in domains with an external cusp

2005 ◽  
Vol 310 (2) ◽  
pp. 397-411 ◽  
Author(s):  
Gabriel Acosta ◽  
María G. Armentano ◽  
Ricardo G. Durán ◽  
Ariel L. Lombardi
Keyword(s):  
Neumann Problem ◽  
Poisson Equation ◽  
The Poisson Equation

On Green’s function of the Robin problem for the Poisson equation

2019 ◽  
Vol 10 (3) ◽  
pp. 203-213 ◽  
Author(s):  
Valery V. Karachik ◽  
Batirkhan K. Turmetov
Keyword(s):  
Green Function ◽  
Green’S Function ◽  
Unit Ball ◽  
Poisson Equation ◽  
Green's Function ◽  
Explicit Representation ◽  
Robin Problem ◽  
The Poisson Equation ◽  
The Green Function

AbstractAn explicit representation of the Green function of the Robin problem for the Poisson equation in the unit ball is given.

scholarly journals Dirichlet Problem for Complex Poisson Equation in a Half Hexagon Domain

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Bibinur Shupeyeva
Keyword(s):  
Dirichlet Problem ◽  
Green Function ◽  
Poisson Equation ◽  
Reflection Method ◽  
The Poisson Equation

The parqueting-reflection method is applied to a nonregular domain and the harmonic Green function for the half hexagon is constructed. The related Dirichlet problem for the Poisson equation is solved explicitly.

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