Magnetic Steklov operator on differential forms

Tirumala Chakradhar; Katie Gittins; Georges Habib; Norbert Peyerimhoff

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arXiv · 2511.06877

Magnetic Steklov operator on differential forms

Tirumala Chakradhar·Katie Gittins·Georges Habib·Norbert Peyerimhoff

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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 $2$-dimensional and $4$-dimensional balls in Euclidean space.

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BibTeX RIS

Tirumala Chakradhar, Katie Gittins, Georges Habib, Norbert Peyerimhoff. 2025-11-10. Magnetic Steklov operator on differential forms. https://arxiv.org/abs/2511.06877

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