Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > Spectral Theory

arXiv:1804.07197 (math)
[Submitted on 19 Apr 2018 (v1), last revised 1 Apr 2019 (this version, v2)]

Title:Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity

Authors:Diana Barseghyan, Andrii Khrabustovskyi
View PDF
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 (this http URL, 2015). In the current work we prove a Berezin type upper bound for the eigenvalue moments.
Comments: Accepted for publication in "Operators and Matrices"
Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)
MSC classes: 35P20, 35P15, 81Q10, 81Q37
Cite as: arXiv:1804.07197 [math.SP]
  (or arXiv:1804.07197v2 [math.SP] for this version)
  https://doi.org/10.48550/arXiv.1804.07197

Submission history

From: Diana Barseghyan [view email]
[v1] Thu, 19 Apr 2018 14:38:00 UTC (55 KB)
[v2] Mon, 1 Apr 2019 14:51:50 UTC (62 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
math.SP
< prev   |   next >
new | recent | 2018-04
Change to browse by:
math
math-ph
math.AP
math.MP

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)