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| Title:
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On Rayleigh's Principle |
| Type:
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ReportReport |
| Participant(s):
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Technical University of Denmark
Email:
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| Abstract:
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Rayleigh's principle expresses that the smallest eigenvalue of a
regular Sturm-Liouville problem with regular boundary conditions
is the minimum value of a certain functional, the so called
Rayleigh's quotient, and that this value is attained at the
corresponding eigenfunctions only. This can be proved by means of
more advanced methods. However, it turns out that there is an
elementary proof, which is presented in the report. |
| Published:
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