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math.SP2024
Friedlander's inequality and the de Rham complex
Magnus Fries, Magnus Goffeng, Germán Miranda
Inequalities between Dirichlet and Neumann eigenvalues of the Laplacian and of other differential operators have been intensively studied in the past decades. The aim of this paper…
math.SP2024
The magnetic Laplacian on the Disc for strong magnetic fields
Ayman Kachmar, Germán Miranda
The magnetic Laplacian on a planar domain under a strong constant magnetic field has eigenvalues close to the Landau levels. We study the case when the domain is a disc and the spe…
math.SP2023
Discrete spectrum of the magnetic Laplacian on almost flat magnetic barriers
Germán Miranda
The magnetic Laplacian with a step magnetic field has been intensively studied during the last years. We adapt the construction introduced by Bonnaillie-Noël, Fournais, Kachmar and…