The Laplace-Beltrami Operator on the Surface of the Ellipsoid

The Laplace-Beltrami operator on (the surface of) a triaxial ellipsoid admits a sequence of real eigenvalues diverging to plus infinity. By introducing ellipsoidal coordinates, this eigenvalue problem for a partial differential operator is reduced to a two-parameter regular Sturm-Liouville problem i...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Author: Volkmer, Hans
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212353
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Laplace-Beltrami Operator on the Surface of the Ellipsoid. Hans Volkmer. SIGMA 20 (2024), 067, 21 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine