Zhongwei Shen

collaborators

2 papers

math.AP2025

Exponential Decays of Steklov Eigenfunctions for the Magnetic Laplacian

Zhongwei Shen

Consider the Dirichlet-to-Neumann map $I^_{I^}^{2}$ associated with the SchrÃ¶dinger operator $(D+Î²\A)^2$ with a magnetic potential in a bounded Lipschitz domain $I^c ◯$ , where $I^^{2} > 1$ is t…

math.AP2025

Boundary Value Problems for the Magnetic Laplacian in Semiclassical Analysis

Zhongwei Shen

This paper is concerned with the magnetic Laplacian $P^h (\A)=(h D+\A)^2$ in semiclassical analysis, where $h$ is a semiclassical parameter. We study the $L^{2}$ Neumann and Dirichle…