Quantitative spectral stability for the Robin Laplacian
Abstract
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.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Nonlinear Partial Differential Equations
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Mathematische Annalen
- Volume
- 395
- Issue
- 4
- Publication date
- 30 June 2026
- Language
- EN