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

M. A. Sadybekov; B. T. Torebek; B. Kh. Turmetov

doi:10.1134/S0037446617010190

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

Authors: Sadybekov M.A.¹, Torebek B.T.¹, Turmetov B.K.²
Affiliations:
1. Institute of Mathematics and Mathematical Modeling
2. Ahmet Yesevi University
Issue: Vol 58, No 1 (2017)
Pages: 153-158
Section: Article
URL: https://journals.rcsi.science/0037-4466/article/view/171005
DOI: https://doi.org/10.1134/S0037446617010190
ID: 171005

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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.