Work

Quantitative spectral stability for the Robin Laplacian

Year: 2026

Type: article

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.

Source: Mathematische Annalen

DOI: 10.1007/s00208-026-03523-4

Authors: Veronica Felli, Prasun Roychowdhury, Giovanni Siclari

Institutions: University of Milano-Bicocca, Waseda University, Scuola Normale Superiore, Centro di Ricerca Matematica Ennio De Giorgi

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190