Details

Autor(en) / Beteiligte

• Abatangelo, Laura
• Felli, Veronica
• Hillairet, Luc
• Léna, Corentin

Titel

Spectral stability under removal of small capacity sets and applications to Aharonov–Bohm operators

Ist Teil von

• Journal of spectral theory, 2019-01, Vol.9 (2), p.379-427

Ort / Verlag

Zuerich, Switzerland: European Mathematical Society Publishing House

Erscheinungsjahr

2019

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We first establish a sharp relation between the order of vanishing of a Dirichlet eigenfunction at a point and the leading term of the asymptotic expansion of the Dirichlet eigenvalue variation, as a removed compact set concentrates at that point. Then we apply this spectral stability result to the study of the asymptotic behaviour of eigenvalues of Aharonov–Bohm operators with two colliding poles moving on an axis of symmetry of the domain.