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Spectral Convergence of the Laplace Operator with Robin Boundary Conditions on a Small Hole

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F23%3A00578402" target="_blank" >RIV/61389005:_____/23:00578402 - isvavai.cz</a>

  • Alternative codes found

    RIV/61988987:17310/23:A2402LAH

  • Result on the web

    <a href="https://doi.org/10.1007/s00009-023-02510-2" target="_blank" >https://doi.org/10.1007/s00009-023-02510-2</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00009-023-02510-2" target="_blank" >10.1007/s00009-023-02510-2</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Spectral Convergence of the Laplace Operator with Robin Boundary Conditions on a Small Hole

  • Original language description

    In this paper, we study a bounded domain with a small hole removed. Our main result concerns the spectrum of the Laplace operator with the Robin conditions imposed at the hole boundary. Moreover, we prove that under some suitable assumptions on the parameter in the boundary condition, the spectrum of the Laplacian converges in the Hausdorff distance sense to the spectrum of the Laplacian defined on the unperturbed domain.

  • 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

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA21-07129S" target="_blank" >GA21-07129S: New Effects from Time-Reversal Non-Invariance</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mediterranean Journal of Mathematics

  • ISSN

    1660-5446

  • e-ISSN

    1660-5454

  • Volume of the periodical

    20

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    18

  • Pages from-to

    304

  • UT code for WoS article

    001092951200001

  • EID of the result in the Scopus database

    2-s2.0-85171829127