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Estimates of the principal eigenvalue of the -biharmonic operator

✍ Scribed by Jiří Benedikt; Pavel Drábek


Book ID
116761221
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
261 KB
Volume
75
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES


Asymptotic First Eigenvalue Estimates fo
✍ M.P. Owen 📂 Article 📅 1997 🏛 Elsevier Science 🌐 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