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Arnold's Trivium
1991 Arnold's Trivium
77
77
Part of
1991 Arnold's Trivium
Problems
(1)
Problem 77
Source:
7/1/2010
Find the eigenvalues and their multiplicities of the Laplace operator
Δ
=
div grad
\Delta = \text{div grad}
Δ
=
div grad
on a sphere of radius
R
R
R
in Euclidean space of dimension
n
n
n
.
geometry
3D geometry
sphere
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