On permeable potential boundary conditions for the Laplace–Beltrami operator

T. Sh Kal’menov; D. Suragan

doi:10.1134/S0037446615060099

On permeable potential boundary conditions for the Laplace–Beltrami operator

T. Sh Kal’menov, D. Suragan

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Under study are the so-called permeable potential boundary conditions for the Laplace–Beltrami operator defined in a domain Ω on the unit sphere S in ℝ³. The permeability of boundary conditions means that a solution to a boundary value problem in Ω coincides with a solution to the Laplace–Beltrami equation on the whole sphere in absence of any boundary conditions.

Original language	English
Pages (from-to)	1060-1064
Number of pages	5
Journal	Siberian Mathematical Journal
Volume	56
Issue number	6
DOIs	https://doi.org/10.1134/S0037446615060099
Publication status	Published - Nov 1 2015
Externally published	Yes

Keywords

boundary condition
double layer potential
Laplace–Beltrami operator
volume potential

ASJC Scopus subject areas

General Mathematics

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10.1134/S0037446615060099

Cite this

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abstract = "Under study are the so-called permeable potential boundary conditions for the Laplace–Beltrami operator defined in a domain Ω on the unit sphere S in ℝ3. The permeability of boundary conditions means that a solution to a boundary value problem in Ω coincides with a solution to the Laplace–Beltrami equation on the whole sphere in absence of any boundary conditions.",

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AU - Kal’menov, T. Sh

AU - Suragan, D.

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N2 - Under study are the so-called permeable potential boundary conditions for the Laplace–Beltrami operator defined in a domain Ω on the unit sphere S in ℝ3. The permeability of boundary conditions means that a solution to a boundary value problem in Ω coincides with a solution to the Laplace–Beltrami equation on the whole sphere in absence of any boundary conditions.

AB - Under study are the so-called permeable potential boundary conditions for the Laplace–Beltrami operator defined in a domain Ω on the unit sphere S in ℝ3. The permeability of boundary conditions means that a solution to a boundary value problem in Ω coincides with a solution to the Laplace–Beltrami equation on the whole sphere in absence of any boundary conditions.

KW - boundary condition

KW - double layer potential

KW - Laplace–Beltrami operator

KW - volume potential

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ER -

On permeable potential boundary conditions for the Laplace–Beltrami operator

Abstract

Keywords

ASJC Scopus subject areas

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