Évènement

Noah Körner
Carl von Ossietzky Universität Oldenburg

Date(s) : 22/09/2026   iCal
11h00 - 12h00

We consider the magnetic Neumann Laplacian on bounded domains in $\mathbb{R}^2$ with outward peaks. The operator is associated with a large magnetic field depending on a parameter $\lambda$, and we investigate the behaviour of the eigenvalues as $\lambda$ tends to $+\infty$. We show that their asymptotic expansion is influenced by the sharpness $q$ and geometry of the peak, and that its main term is of order $\lambda^\frac{2}{q+1}$. This is an extension of previous works on magnetic Neumann Laplacians in smooth domains and domains with corners.

Emplacement
I2M Saint-Charles - Salle de séminaire

Catégories

• Séminaire