Eigenstructure of the equilateral triangle. Part III. The Robin problem
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 mo...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204306125 |
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| _version_ | 1850166420730544128 |
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| author | Brian J. McCartin |
| author_facet | Brian J. McCartin |
| author_sort | Brian J. McCartin |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e101a45dbf3941499e3746a451d0143e |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e101a45dbf3941499e3746a451d0143e2025-08-20T02:21:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-0120041680782510.1155/S0161171204306125Eigenstructure of the equilateral triangle. Part III. The Robin problemBrian J. McCartin0Department of Applied Mathematics, Kettering University, 1700 West Third Avenue, Flint 48504-4898, MI, USALamé'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.http://dx.doi.org/10.1155/S0161171204306125 |
| spellingShingle | Brian J. McCartin Eigenstructure of the equilateral triangle. Part III. The Robin problem International Journal of Mathematics and Mathematical Sciences |
| title | Eigenstructure of the equilateral triangle. Part III. The Robin problem |
| title_full | Eigenstructure of the equilateral triangle. Part III. The Robin problem |
| title_fullStr | Eigenstructure of the equilateral triangle. Part III. The Robin problem |
| title_full_unstemmed | Eigenstructure of the equilateral triangle. Part III. The Robin problem |
| title_short | Eigenstructure of the equilateral triangle. Part III. The Robin problem |
| title_sort | eigenstructure of the equilateral triangle part iii the robin problem |
| url | http://dx.doi.org/10.1155/S0161171204306125 |
| work_keys_str_mv | AT brianjmccartin eigenstructureoftheequilateraltrianglepartiiitherobinproblem |