A method for solving the Neumann problem for the Poisson equation on the exterior of a poligon

1993 ◽  
Vol 22 (36) ◽  
Author(s):  
Tomasz Roliński
Keyword(s):  
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

scholarly journals About solvability of some boundary value problems for poisson equation in the ball

Filomat ◽  
2018 ◽  
Vol 32 (3) ◽  
pp. 939-946
Author(s):  
Maira Koshanova ◽  
Batirkhan Turmetov ◽  
Kairat Usmanov
Keyword(s):  
Boundary Value Problems ◽  
Neumann Problem ◽  
Poisson Equation ◽  
Fractional Order ◽  
Periodic Boundary ◽  
Differential Operators ◽  
Boundary Value ◽  
Periodic Boundary Value Problems ◽  
Circular Domains ◽  
The Neumann Problem

In the paper we study properties of some integro - differential operators of fractional order. As an application of the properties of these operators for Poisson equation we examine questions on solvability of a fractional analogue of the Neumann problem and analogues of periodic boundary value problems for circular domains. The exact conditions for solvability of these problems are found.

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