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Spectral stability under removal of small capacity sets and applications to Aharonov–Bohm operators
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0002-6763-6068
2019 (English)In: Journal of Spectral Theory, ISSN 1664-039X, E-ISSN 1664-0403, Vol. 9, no 2, p. 379-427Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2019. Vol. 9, no 2, p. 379-427
Keywords [en]
Asymptotics of eigenvalues, small capacity sets, Aharonov–Bohm operators
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-179444DOI: 10.4171/JST/251OAI: oai:DiVA.org:su-179444DiVA, id: diva2:1410729
Available from: 2020-02-29 Created: 2020-02-29 Last updated: 2020-03-03Bibliographically approved

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Léna, Corentin
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