The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 9 Issue 1
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- Pages.31-37
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- 2002
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
THE EIGENVALUE PROBLEM AND A WEAKER FORM OF THE PRINCIPLE OF SPATIAL AVERAGING
Abstract
In this paper, we find explicitly the eigenvalues and the eigenfunctions of Laplace operator on a triangle domain with a mixed boundary condition. We also show that a weaker form of the principle of spatial averaging holds for this domain under suitable boundary condition.
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