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Asymptotic estimates for the principal eigenvalue of the laplacian in a geodesic ball

✍ Scribed by Gabriella Grosso; Federico Marchetti


Publisher
Springer
Year
1983
Tongue
English
Weight
495 KB
Volume
10
Category
Article
ISSN
0095-4616

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πŸ“œ SIMILAR VOLUMES


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