Rate of convergence for eigenfunctions of Aharonov-Bohm operators with a moving pole
classification
🧮 math.AP
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eigenfunctionsaharonov-bohmconvergencedomainoperatorspoleratebehavior
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We study the behavior of eigenfunctions for magnetic Aharonov-Bohm operators with half-integer circulation and Dirichlet boundary conditions in a planar domain. We prove a sharp estimate for the rate of convergence of eigenfunctions as the pole moves in the interior of the domain.
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