scholarly journals The Gradient of a Solution of the Poisson Equation in the Unit Ball and Related Operators

2017 ◽  
Vol 60 (3) ◽  
pp. 536-545 ◽  
Author(s):  
David Kalaj ◽  
Djordjije Vujadinovic
Keyword(s):  
Integral Operator ◽  
Unit Ball ◽  
Poisson Equation ◽  
Boundary Data ◽  
The Poisson Equation

AbstractIn this paper we determine the L1 ⟶ L1 and L∞ ⟶ L∞ norms of an integral operator N related to the gradient of the solution of Poisson equation in the unit ball with vanishing boundary data in sense of distributions.

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.

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