Estimates for sums of eigenvalues of the free plate with nonzero Poisson's ratio

Shan Li; Jing Mao

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arXiv · 2007.07833

Estimates for sums of eigenvalues of the free plate with nonzero Poisson's ratio

Shan Li·Jing Mao

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Abstract

By using the Fourier transform, we successfully give Kr\"{o}ger-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.

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Shan Li, Jing Mao. 2020-07-15. Estimates for sums of eigenvalues of the free plate with nonzero Poisson's ratio. https://arxiv.org/abs/2007.07833

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