Magnetic Steklov operator on differential forms
Spectral Theory
2025-11-11 v1 Differential Geometry
Abstract
In this paper, we introduce the magnetic Steklov operator on differential forms and show that the underlying boundary value problem is well-posed. Moreover, we show that an analogue of the Diamagnetic Inequality does not always hold for this operator, and we present some spectral computations of magnetic Steklov operators for -dimensional and -dimensional balls in Euclidean space.
Cite
@article{arxiv.2511.06877,
title = {Magnetic Steklov operator on differential forms},
author = {Tirumala Chakradhar and Katie Gittins and Georges Habib and Norbert Peyerimhoff},
journal= {arXiv preprint arXiv:2511.06877},
year = {2025}
}