On permeable potential boundary conditions for the Laplace–Beltrami operator

Springer Science and Business Media LLC - Tập 56 - Trang 1060-1064 - 2015
T. Sh. Kal’menov1, D. Suragan1
1Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

Tóm tắt

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.

Tài liệu tham khảo

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