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Estimates for eigenvalues of a biharmonic operator perturbed by the variation of a domain

โœ Scribed by V. G. Prikazhchikov; A. A. Klunnik


Publisher
Springer US
Year
1997
Tongue
English
Weight
218 KB
Volume
84
Category
Article
ISSN
1573-8795

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Asymptotic First Eigenvalue Estimates fo
โœ M.P. Owen ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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