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Journals / Advances in the Theory of Nonlinear Analysis and its Application / 2023 / Cilt: 7 Sayı: 2

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

Baltabek Kanguzhin(Al-Farabi Kazakh National University)0000-0001-5504-6362
Karlygash Dosmagulova(Al-Farabi Kazakh National University)0000-0001-8289-6573
Pages
428–440
Publication Date
2023-07-23
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:An arbitrary point is removed from a three-dimensional Euclidean space on a two-dimensional sphere.
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Key Findings & Data:The new well-posed solvable boundary value problems for the corresponding Laplace-Beltrami operator on the resulting punctured sphere are presented.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Laplace-Beltrami operator · two-dimensional punctured sphere · well-posed problems

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.

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Cite This Article

Kanguzhin, B., Dosmagulova, K. (2023). Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere. Advances in the Theory of Nonlinear Analysis and its Application, Cilt: 7 Sayı: 2, 428–440. https://doi.org/10.31197/atnaa.1253855

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