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Asymptotics for the principal eigenvalue of the -biharmonic operator on the ball as approaches 1

✍ Scribed by Benedikt, Jiří; Drábek, Pavel

Book ID
122152098
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
425 KB
Volume
95
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

Asymptotic First Eigenvalue Estimates fo
Asymptotic First Eigenvalue Estimates for the Biharmonic Operator on a Rectangle
✍ 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