We consider Aharonov-Bohm operators with two poles and prove sharp asymptotics for simple eigenvalues as the poles collapse at an interior point out of nodal lines of the limit eigenfunction.
Abatangelo, L., Felli, V., Léna, C. (2017). On Aharonov-Bohm Operators with Two Colliding Poles. ADVANCED NONLINEAR STUDIES, 17(2), 283-296 [10.1515/ans-2017-0004].
On Aharonov-Bohm Operators with Two Colliding Poles
ABATANGELO, LAURA;FELLI, VERONICA
;
2017
Abstract
We consider Aharonov-Bohm operators with two poles and prove sharp asymptotics for simple eigenvalues as the poles collapse at an interior point out of nodal lines of the limit eigenfunction.
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