Uniform Resolvent Estimates for Critical Magnetic Schrödinger Operators in 2D

Luca Fanelli; Junyong Zhang; Jiqiang Zheng

doi:10.1093/imrn/rnac362

Uniform Resolvent Estimates for Critical Magnetic Schrödinger Operators in 2D

Luca Fanelli^*, Junyong Zhang, Jiqiang Zheng

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We study the -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.

Original language	English
Pages (from-to)	17656-17703
Number of pages	48
Journal	International Mathematics Research Notices
Volume	2023
Issue number	20
DOIs	https://doi.org/10.1093/imrn/rnac362
Publication status	Published - 1 Oct 2023

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abstract = "We study the -type uniform resolvent estimates for 2D-Schr{\"o}dinger 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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AU - Zheng, Jiqiang

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N2 - We study the -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.

AB - We study the -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.

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ER -

Uniform Resolvent Estimates for Critical Magnetic Schrödinger Operators in 2D

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