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dirichlet-to-neumann maps 1inverse problems 1riemannian manifolds 1spectral theory 1unique continuation 1

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20242026
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math.SP2026

Flux effects on Magnetic Laplace and Steklov eigenvalues in the exterior of a disk

Bernard Helffer, Ayman Kachmar, François Nicoleau

We derive a three-term asymptotic expansion for the lowest eigenvalue of the magnetic Laplace and Steklov operators in the exterior of the unit disk in the strong magnetic field li…

math.SP2025

Eigenvalues of the Neumann magnetic Laplacian in the unit disk

Bernard Helffer, Corentin Léna

In this paper, we study the first eigenvalue of the magnetic Laplacian with Neumann boundary conditions in the unit disk in . There is a rather complete as…