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On the eigenvalues of the biharmonic operator with pointwise gradient constraint

✍ Scribed by Claudio Saccon


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
270 KB
Volume
61
Category
Article
ISSN
0362-546X

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Asymptotic First Eigenvalue Estimates fo
✍ M.P. Owen πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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