Uniform Resolvent Estimates for Critical Magnetic Schrödinger Operators in 2D-Reference-Cited by-同舟云学术

Uniform Resolvent Estimates for Critical Magnetic Schrödinger Operators in 2D

Published:2023-01-24 Issue:20 Volume:2023 Page:17656-17703
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Fanelli Luca¹,Zhang Junyong²,Zheng Jiqiang³

Affiliation:

1. Ikerbasque and Universidad del País Vasco , Departamento de Matemáticas, Bilbao, Spain

2. Department of Mathematics , Beijing Institute of Technology, Beijing 100081

3. Institute of Applied Physics and Computational Mathematics , Beijing 100088

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.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2023/20/17656/52414600/rnac362.pdf

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