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Dergiler / 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
Sayfa
428–440
Yayın Tarihi
2023-07-23
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez:An arbitrary point is removed from a three-dimensional Euclidean space on a two-dimensional sphere.
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Temel Bulgular & Veri:The new well-posed solvable boundary value problems for the corresponding Laplace-Beltrami operator on the resulting punctured sphere are presented.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (19)

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