Representation of the Green’s function of the exterior Neumann problem for the Laplace operator


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Abstract

We represent the Green’s function of the classical Neumann problem for the exterior of the unit ball of arbitrary dimension. We show that the Green’s function can be expressed through elementary functions. The explicit form of the function is written out.

About the authors

M. A. Sadybekov

Institute of Mathematics and Mathematical Modeling

Author for correspondence.
Email: makhmud-s@mail.ru
Kazakhstan, Almaty

B. T. Torebek

Institute of Mathematics and Mathematical Modeling

Email: makhmud-s@mail.ru
Kazakhstan, Almaty

B. Kh. Turmetov

Ahmet Yesevi University

Email: makhmud-s@mail.ru
Kazakhstan, Turkistan

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