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arXiv · 2609.03783

Spectral properties of the magnetic Robin Laplacian on curvilinear half-plane

Diana Barseghyan·Baruch Schneider·Yifan Zhang
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Abstract

We analyse magnetic Robin Laplacian in curvilinear half-plane with a smooth boundary. It is well known that the spectrum of the Robin Laplacian is unstable with respect to boundary deformations. This means that if the boundary is a straight line then the spectrum of the Robin Laplacian is purely essential. From the other hand, the perturbation of the boundary produces eigenvalues below the essential spectrum. In this paper, the Robin-Laplace operator with a compactly supported magnetic field is considered. We prove that the spectrum of the magnetic Robin Laplacian is stable under small and local deformations of the boundary.

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Diana Barseghyan, Baruch Schneider, Yifan Zhang. 2026-09-03. Spectral properties of the magnetic Robin Laplacian on curvilinear half-plane. https://arxiv.org/abs/2609.03783

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