We obtain estimates for sums of eigenvalues of the free plate under tension in terms of the dimension of the ambient space, the volume of the domain, and the tension parameter. We consequently obtain similar estimates for the eigenvalues. Our results generalize those of Kröger for the free membrane contained in [16].

Brandolini B., Chiacchio F., & Langford J.J. (2020). Estimates for sums of eigenvalues of the free plate via the Fourier transform. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 19(1), 113-122 [10.3934/cpaa.2020007].

Estimates for sums of eigenvalues of the free plate via the Fourier transform

Brandolini B.
;
2020

Abstract

We obtain estimates for sums of eigenvalues of the free plate under tension in terms of the dimension of the ambient space, the volume of the domain, and the tension parameter. We consequently obtain similar estimates for the eigenvalues. Our results generalize those of Kröger for the free membrane contained in [16].
Settore MAT/05 - Analisi Matematica
Brandolini B., Chiacchio F., & Langford J.J. (2020). Estimates for sums of eigenvalues of the free plate via the Fourier transform. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 19(1), 113-122 [10.3934/cpaa.2020007].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/493989
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