Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity
Spectral Theory
2019-04-02 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
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.Krejcirik, 2015). In the current work we prove a Berezin type upper bound for the eigenvalue moments.
Keywords
Cite
@article{arxiv.1804.07197,
title = {Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity},
author = {Diana Barseghyan and Andrii Khrabustovskyi},
journal= {arXiv preprint arXiv:1804.07197},
year = {2019}
}
Comments
Accepted for publication in "Operators and Matrices"