Estimates for sums of eigenvalues of the free plate with nonzero Poisson’s ratio
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- by Shan Li and Jing Mao PDF
- Proc. Amer. Math. Soc. 149 (2021), 2167-2177 Request permission
Abstract:
By using the Fourier transform, we successfully give Kröger-type estimates for sums of eigenvalues of the free plate (under tension and with nonzero Poisson’s ratio) in terms of the dimension of the ambient space, the volume of the domain, the tension parameter and the Poisson’s ratio.References
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Additional Information
- Shan Li
- Affiliation: Faculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province, Hubei University, Wuhan 430062, People’s Republic of China
- Email: 1981394637@qq.com
- Jing Mao
- Affiliation: Faculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province, Hubei University, Wuhan 430062, People’s Republic of China
- MR Author ID: 880903
- Email: jiner120@163.com
- Received by editor(s): August 10, 2020
- Received by editor(s) in revised form: October 13, 2020
- Published electronically: February 24, 2021
- Additional Notes: This work was partially supported by the NSF of China (Grant Nos. 11801496 and 11926352), the Fok Ying-Tung Education Foundation (China) and Hubei Key Laboratory of Applied Mathematics (Hubei University)
The second author is the corresponding author. - Communicated by: Guofang Wei
- © Copyright 2021 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 149 (2021), 2167-2177
- MSC (2020): Primary 35P15, 53C42
- DOI: https://doi.org/10.1090/proc/15444
- MathSciNet review: 4232207