Abstract
Abstract We study the $L^{p}-L^{q}$-type uniform resolvent estimates for 2D-Schrödinger operators in scaling-critical magnetic fields, involving the Aharonov–Bohm model as a main example. As an application, we prove localization estimates for the eigenvalue of some non–self-adjoint zero-order perturbations of the magnetic Hamiltonian.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have