Spectral estimates for dirichlet laplacian on tubes with exploding twisting velocity

Diana Barseghyan, Andrii Khrabustovskyi

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We study the spectrum of the Dirichlet Laplacian on an unbounded twisted tube with twisting velocity exploding to infinity. If the tube cross section does not intersect the axis of rotation, then its spectrum is purely discrete under some additional conditions on the twisting velocity (D. Krejčiřík, 2015). In the current work we prove a Berezin type upper bound for the eigenvalue moments.

Original languageEnglish
Pages (from-to)311-322
Number of pages12
JournalOperators and matrices
Issue number2
Publication statusPublished - 1 Jun 2019



  • Dirichlet Laplacian
  • Discrete spectrum
  • Eigenvalue bounds
  • Twisted tube

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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