On permeable potential boundary conditions for the Laplace–Beltrami operator

T. Sh Kal’menov, D. Suragan

Research output: Contribution to journalArticlepeer-review

6 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 languageEnglish
Pages (from-to)1060-1064
Number of pages5
JournalSiberian Mathematical Journal
Volume56
Issue number6
DOIs
Publication statusPublished - Nov 1 2015
Externally publishedYes

Keywords

  • boundary condition
  • double layer potential
  • Laplace–Beltrami operator
  • volume potential

ASJC Scopus subject areas

  • Mathematics(all)

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