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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Original Russian Text Copyright © 2015 Kal’menov T.Sh. and Suragan D.
Almaty. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 6, pp. 1326–1331, November–December, 2015; DOI: 10.17377/smzh.2015.56.609.
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Kal’menov, T.S., Suragan, D. On permeable potential boundary conditions for the Laplace–Beltrami operator. Sib Math J 56, 1060–1064 (2015). https://doi.org/10.1134/S0037446615060099
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DOI: https://doi.org/10.1134/S0037446615060099