On permeable potential boundary conditions for the Laplace–Beltrami operator

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• 作者：T. Sh. Kal’menov ; D. Suragan
• 关键词：Laplace–Beltrami operator ; boundary condition ; volume potential ; double layer potential
• 刊名：Siberian Mathematical Journal
• 出版年：2015
• 出版时间：November 2015
• 年：2015
• 卷：56
• 期：6
• 页码：1060-1064
• 全文大小：168 KB
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• 作者单位：T. Sh. Kal’menov (1)
  D. Suragan (1)
  
  1. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：Springer New York
• ISSN：1573-9260

文摘

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 ℝ^{3. 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. Keywords Laplace–Beltrami operator boundary condition volume potential double layer potential}