THE EIGENVALUE PROBLEM AND A WEAKER FORM OF THE PRINCIPLE OF SPATIAL AVERAGING
THE EIGENVALUE PROBLEM AND A WEAKER FORM OFTHE PRINCIPLE OF SPATIAL AVERAGING
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2002, v.9 no.1, pp.31-37
Kwean, Hyuk-Jin
(Department of Mathematics Education, Korea University)
Kwean, Hyuk-Jin.
(2002). THE EIGENVALUE PROBLEM AND A WEAKER FORM OF THE PRINCIPLE OF SPATIAL AVERAGING, 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.