Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere-Reference-Cited by-同舟云学术

Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere

Published:2023-07-23 Issue:2 Volume:7 Page:428-440
ISSN:2587-2648
Container-title:Advances in the Theory of Nonlinear Analysis and its Application
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Author:

KANGUZHİN Baltabek¹^ORCID,DOSMAGULOVA Karlygash¹^ORCID

Affiliation:

1. Al-Farabi Kazakh National University

Abstract

An arbitrary point is removed from a three-dimensional Euclidean space on a two-dimensional sphere. The new well-posed solvable boundary value problems for the corresponding Laplace-Beltrami operator on the resulting punctured sphere are presented. To formulate the well-posed problems some properties of Green's function of the Laplace-Beltrami operator on a two-dimensional sphere are previously studied in detail.

Publisher

Erdal Karapinar

Subject

Applied Mathematics,Analysis

Reference19 articles.

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