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Ruled strips with asymptotically diverging twisting

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F18%3A00326295" target="_blank" >RIV/68407700:21340/18:00326295 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s00023-018-0684-4" target="_blank" >https://doi.org/10.1007/s00023-018-0684-4</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00023-018-0684-4" target="_blank" >10.1007/s00023-018-0684-4</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Ruled strips with asymptotically diverging twisting

  • Original language description

    We consider the Dirichlet Laplacian in a two-dimensional strip composed of segments translated along a straight line with respect to a rotation angle with velocity diverging at infinity. We show that this model exhibits a “raise of dimension” at infinity leading to an essential spectrum determined by an asymptotic three-dimensional tube of annular cross section. If the cross section of the asymptotic tube is a disc, we also prove the existence of discrete eigenvalues below the essential spectrum.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>ost</sub> - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA18-08835S" target="_blank" >GA18-08835S: Quantum mechanics with non-self-adjoint operators: transition from spectra to pseudospectra</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Annales Henri Poincare

  • ISSN

    1424-0637

  • e-ISSN

    1424-0661

  • Volume of the periodical

    19

  • Issue of the periodical within the volume

    7

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    18

  • Pages from-to

    2069-2086

  • UT code for WoS article

  • EID of the result in the Scopus database