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Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F19%3AA2001WNH" target="_blank" >RIV/61988987:17310/19:A2001WNH - isvavai.cz</a>

  • Alternative codes found

    RIV/61389005:_____/19:00507631

  • Result on the web

    <a href="http://oam.ele-math.com/13-21/Spectral-estimates-for-Dirichlet-Laplacian-on-tubes-with-exploding-twisting-velocity" target="_blank" >http://oam.ele-math.com/13-21/Spectral-estimates-for-Dirichlet-Laplacian-on-tubes-with-exploding-twisting-velocity</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.7153/oam-2019-13-21" target="_blank" >10.7153/oam-2019-13-21</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA17-01706S" target="_blank" >GA17-01706S: Mathematical-Physics Models of Novel Materials</a><br>

  • Continuities

    V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Operators and Matrices

  • ISSN

    1846-3886

  • e-ISSN

  • Volume of the periodical

    13

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    HR - CROATIA

  • Number of pages

    12

  • Pages from-to

    311-322

  • UT code for WoS article

    000477983100002

  • EID of the result in the Scopus database

    2-s2.0-85071679774