Number of the records: 1  

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

  1. 1.
    0578402 - ÚJF 2024 RIV CH eng J - Journal Article
    Barseghyan, Diana - Schneider, B.
    Spectral Convergence of the Laplace Operator with Robin Boundary Conditions on a Small Hole.
    Mediterranean Journal of Mathematics. Roč. 20, č. 6 (2023), č. článku 304. ISSN 1660-5446. E-ISSN 1660-5454
    R&D Projects: GA ČR(CZ) GA21-07129S
    Institutional support: RVO:61389005
    Keywords : Robin Laplacian * spectral convergence * domain with a hole
    OECD category: Applied mathematics
    Impact factor: 1.1, year: 2022
    Method of publishing: Open access
    https://doi.org/10.1007/s00009-023-02510-2

    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.
    Permanent Link: https://hdl.handle.net/11104/0347398

     
    FileDownloadSizeCommentaryVersionAccess
    0578402.pdf2403.9 KBCC licencePublisher’s postprintopen-access
     
Number of the records: 1  

  This site uses cookies to make them easier to browse. Learn more about how we use cookies.