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

Barbara Brandolini, Barbara Brandolini, Francesco Chiacchio, Jeffrey J. Langford

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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].
Original languageEnglish
Pages (from-to)113-122
Number of pages10
JournalCommunications on Pure and Applied Analysis
Volume19
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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