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arXiv · 2109.11327

Uniform resolvent estimates for critical magnetic Schr\"odinger operators in 2D

Luca Fanelli·Junyong Zhang·Jiqiang Zheng
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Abstract

We study the $L^p-L^q$-type uniform resolvent estimates for 2D-Schr\"odinger 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.

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Luca Fanelli, Junyong Zhang, Jiqiang Zheng. 2021-09-23. Uniform resolvent estimates for critical magnetic Schr\"odinger operators in 2D. https://arxiv.org/abs/2109.11327

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