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Preprints, Working Papers, ... Year : 2024

Generic simplicity of ellipses

Abstract

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 and versions

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

Identifiers

Cite

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