Generic simplicity of ellipses
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.
Authors
- Luc Hillairet (ORCID: https://orcid.org/0009-0009-6010-151X)
- Chris Judge
Institutions
- Université de Tours (FR)
- Université d'Orléans (FR)
- Indiana University Bloomington (US)
- Institut Denis Poisson (FR)
Publication Details
- Journal
- Journal of Spectral Theory
- Published
- 2026-07-27
- DOI
- https://doi.org/10.4171/jst/622
- Primary Topic
- Mathematics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agence Nationale de la Recherche