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Curvature-induced bound states in Robin waveguides and their asymptotical properties

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00223406" target="_blank" >RIV/68407700:21340/14:00223406 - isvavai.cz</a>

  • Alternative codes found

    RIV/61389005:_____/14:00440215

  • Result on the web

    <a href="http://dx.doi.org/10.1063/1.4903184" target="_blank" >http://dx.doi.org/10.1063/1.4903184</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/1.4903184" target="_blank" >10.1063/1.4903184</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Curvature-induced bound states in Robin waveguides and their asymptotical properties

  • Original language description

    We analyze bound states of Robin Laplacian in infinite planar domains with a smooth boundary, in particular, their relations to the geometry of the latter. The domains considered have locally straight boundary being, for instance, locally deformed halfplanes or wedges, or infinite strips, alternatively they are the exterior of a bounded obstacle. In the situation when the Robin condition is strongly attractive, we derive a two-term asymptotic formula in which the next-to-leading term is determined by the extremum of the boundary curvature. We also discuss the non-asymptotic case of attractive boundary interaction and show that the discrete spectrum is nonempty if the domain is a local deformation of a halfplane or a wedge of angle less than ?, and it is void if the domain is concave.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

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

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Mathematical Physics

  • ISSN

    0022-2488

  • e-ISSN

  • Volume of the periodical

    55

  • Issue of the periodical within the volume

    12

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    19

  • Pages from-to

    "122101-1"-"122101-19"

  • UT code for WoS article

    000347168000010

  • EID of the result in the Scopus database