Generic simplicity of ellipses

Journal of Spectral Theory 2026 Open access

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Authors: Luc Hillairet, Chris Judge
DOI: 10.4171/jst/622
Cited by: 0

Abstract

We study the Laplace operator in an ellipse with either Dirichlet or Neumann boundary. We prove that except for a countable set of eccentricities, the spectrum is simple.

Fields of Study & Subjects

Mathematics and Applications History and Theory of Mathematics

Publication details

Journal / source
Journal of Spectral Theory
Volume
16
Issue
3
Pages
875–915
Publication date
27 July 2026
Language
EN