THE EIGENVALUE PROBLEM AND A WEAKER FORM OFTHE PRINCIPLE OF SPATIAL AVERAGING
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2002, v.9 no.1, pp.31-37
Kwean, Hyuk-Jin
Kwean,,
H.
(2002). THE EIGENVALUE PROBLEM AND A WEAKER FORM OFTHE PRINCIPLE OF SPATIAL AVERAGING. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 9(1), 31-37.
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.