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.
Abatangelo, L., Felli, V. (2017). Rate of convergence for eigenfunctions of Aharonov-Bohm operators with a moving pole. In Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs (pp. 1-30). Springer International Publishing [10.1007/978-3-319-64489-9_1].
Rate of convergence for eigenfunctions of Aharonov-Bohm operators with a moving pole
Abatangelo, L;Felli, V
2017
Abstract
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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
