Asymptotic First Eigenvalue Estimates fo
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M.P. Owen
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Article
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1997
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Elsevier Science
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English
⚖ 380 KB
We find an asymptotic expression for the first eigenvalue of the biharmonic operator on a long thin rectangle. This is done by finding lower and upper bounds which become increasingly accurate with increasing length. The lower bound is found by algebraic manipulation of the operator, and the upper b