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Spectral stability ...
Spectral stability under removal of small capacity sets and applications to Aharonov–Bohm operators
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Abatangelo, Laura (author)
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Felli, Veronica (author)
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Hillairet, Luc (author)
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- Léna, Corentin (author)
- Stockholms universitet,Matematiska institutionen
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(creator_code:org_t)
- 2019
- 2019
- English.
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In: Journal of Spectral Theory. - 1664-039X .- 1664-0403. ; 9:2, s. 379-427
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.4...
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Asymptotics of eigenvalues
- small capacity sets
- Aharonov–Bohm operators
- Mathematics
- matematik
Publication and Content Type
- ref (subject category)
- art (subject category)
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