Magnetic Neumann Laplacian on a domain with a hole

0582311 - ÚJF 2024 RIV GB eng J - Journal Article
Barseghyan, Diana - Schneider, B. - Bernstein, S.
Magnetic Neumann Laplacian on a domain with a hole.
Reports on Mathematical Physics. Roč. 92, č. 3 (2023), s. 259-278. ISSN 0034-4877. E-ISSN 1879-0674
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : domain with a hole * magnetic Neumann Laplacian * spectral convergence
OECD category: Condensed matter physics (including formerly solid state physics, supercond.)
Impact factor: 0.8, year: 2022
Method of publishing: Open access
https://doi.org/10.1016/S0034-4877(23)00079-4

In this article, we study the magnetic Neumann Laplacian on a domain with a small hole. Our attention is focused on the description of holes, which do not change the spectrum drastically. Moreover, we show that the spectrum of the magnetic Neumann Laplacian converges in the sense of the Hausdorff distance to the spectrum of the original operator defined on the unperturbed domain.
Permanent Link: https://hdl.handle.net/11104/0350425