In 1996 L. Erdös showed that among planar domains of fixed area, the smallest principal eigenvalue of the Dirichlet Laplacian with a constant magnetic field is uniquely achieved on the disk. I will present a joint work with R. Ghanta and L. Junge, in which we establish a quantitative version of this inequality: we add an explicit remainder term depending on the field strength that measures how much the domain deviates from the disk.
Quantitative magnetic Faber-Krahn inequality
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Nom de l'orateur
Léo Morin
Etablissement de l'orateur
Copenhagen University
Date et heure de l'exposé
Lieu de l'exposé
salle des séminaires