Eigenstructure of the equilateral triangle. Part III. The Robin problem

Brian J. McCartin

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-19

Abstract:

Lamé's formulas for the eigenvalues and eigenfunctions of the Laplacian on an equilateral triangle under Dirichlet and Neumann boundary conditions are herein extended to the Robin boundary condition. They are shown to form a complete orthonormal system. Various properties of the spectrum and modal functions are explored.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:372012

DOI: 10.1155/S0161171204306125

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