Neumann Laplacian in a Perturbed Domain

0557391 - ÚJF 2023 RIV CH eng J - Journal Article
Barseghyan, Diana - Schneider, B. - Hai, L. H.
Neumann Laplacian in a Perturbed Domain.
Mediterranean Journal of Mathematics. Roč. 19, č. 3 (2022), č. článku 126. ISSN 1660-5446. E-ISSN 1660-5454
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Neumann Laplacian * spectral convergence * domain perforation
OECD category: Pure mathematics
Impact factor: 1.1, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s00009-022-02046-x

We consider a domain with a small compact set of zero Lebesgue measure removed. Our main result concerns the spectrum of the Neumann Laplacian defined on such domain. We prove that the spectrum of the Laplacian converges in the Hausdorff distance sense to the spectrum of the Laplacian defined on the unperturbed domain.
Permanent Link: http://hdl.handle.net/11104/0331429