Generic simplicity of ellipses - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

Generic simplicity of ellipses

Résumé

We prove that the Laplace spectrum of the generic ellipse is simple, both with Neumann and Dirichlet boundary condition. We rely on the known multiplicities in the spectrum of the disk (Bourget's hypothesis) and on a refined version of our method of asymptotic separation of variables.

Dates et versions

hal-04502231 , version 1 (13-03-2024)

Identifiants

Citer

Luc Hillairet, Chris M. Judge. Generic simplicity of ellipses. 2024. ⟨hal-04502231⟩
0 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More