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

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.

preprint2020arXivOpen access
Shan LiJing Mao
math.APmath.DG
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Shan LiJing Mao

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