arXiv Open Access 2024

Generic simplicity of ellipses

Luc Hillairet Chris M. Judge

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Abstrak

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. In v1, the statement of prop. 2.1 is correct but the proof is not.

Topik & Kata Kunci

math.SP

Penulis (2)

Luc Hillairet

Chris M. Judge

Format Sitasi

APA MLA BibTeX

Hillairet, L., Judge, C.M. (2024). Generic simplicity of ellipses. https://arxiv.org/abs/2403.07377

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓