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

0578402 - ÚJF 2024 RIV CH eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA21-07129S
Institucionální podpora: RVO:61389005
Klíčová slova: Robin Laplacian * spectral convergence * domain with a hole
Obor OECD: Applied mathematics
Impakt faktor: 1.1, rok: 2022
Způsob publikování: 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.
Trvalý link: https://hdl.handle.net/11104/0347398