Estimates for Sums of Eigenvalues of the Free Plate via the Fourier Transform

Authors

Barbara Brandolini, University of Naples Federico IIFollow
Francesco Chiacchio, University of Naples Federico IIFollow
Jeffrey J. Langford, Bucknell UniversityFollow

Publication Date

2020

Description

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 Kroger for the free membrane.

Journal

Communications in Pure and Applied Analysis

Volume

19

Issue

1

First Page

113

Last Page

122

Department

Mathematics

DOI

10.3934/cpaa.2020007

Recommended Citation

Brandolini, Barbara; Chiacchio, Francesco; Langford, Jeffrey J. Estimates for sums of eigenvalues of the free plate via the Fourier transform. Commun. Pure Appl. Anal. 19 (2020), no. 1, 113--122.