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

^*此作品的通讯作者

数学学院

University of the Basque Country
IAPCM

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	17656-17703
页数	48
期刊	International Mathematics Research Notices
卷	2023
期	20
DOI	https://doi.org/10.1093/imrn/rnac362
出版状态	已出版 - 1 10月 2023

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title = "Uniform Resolvent Estimates for Critical Magnetic Schr{\"o}dinger Operators in 2D",

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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T1 - Uniform Resolvent Estimates for Critical Magnetic Schrödinger Operators in 2D

AU - Fanelli, Luca

AU - Zhang, Junyong

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.

UR - https://www.scopus.com/pages/publications/85173940603

U2 - 10.1093/imrn/rnac362

DO - 10.1093/imrn/rnac362

M3 - Article

AN - SCOPUS:85173940603

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SP - 17656

EP - 17703

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 20

ER -

Uniform Resolvent Estimates for Critical Magnetic Schrödinger Operators in 2D

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