Magnetic Peak Power

Virginie Bonnaillie-Noël (1) , Nicolas Raymond (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

This paper is devoted to the spectral analysis of the magnetic Neumann Laplacian on an infinite cone of aperture $\alpha$. When the magnetic field is constant and parallel to the revolution axis and when the aperture goes to zero, we prove that the first $n$ eigenvalues exist and admit asymptotic expansions in powers of $\alpha^2$.

Mots clés: Magnetic Laplacian; singular 3D domain; spectral asymptotics

Domaines: Equations aux dérivées partielles [math.AP]

Virginie Bonnaillie-Noël, Nicolas Raymond. Magnetic Peak Power. 2012. ⟨hal-00747708v1⟩