Quantitative spectral stability for the Robin Laplacian
Abstract This paper deals with eigenelements of the Laplacian in bounded domains, under Robin boundary conditions, without any assumption on the sign of the Robin parameter. We quantify the asymptotics of the variation of simple eigenvalues under the singular perturbation produced by removing a shrinking set and imposing the same Robin condition on its boundary. We also study the convergence rate of the corresponding eigenfunctions.
Authors
- Prasun Roychowdhury (ORCID: https://orcid.org/0000-0001-7210-1212)
- Veronica Felli (ORCID: https://orcid.org/0000-0002-8820-5750)
- Giovanni Siclari (ORCID: https://orcid.org/0000-0001-6482-3119)
Institutions
- Waseda University (JP)
- Scuola Normale Superiore (IT)
- University of Milano-Bicocca (IT)
Publication Details
- Journal
- Mathematische Annalen
- Published
- 2026-06-30
- DOI
- https://doi.org/10.1007/s00208-026-03523-4
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- European Commission
- Ministero dell'Università e della Ricerca
- Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni