JournalsjstVol. 16, No. 3pp. 875–915

Generic simplicity of ellipses

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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.

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Luc Hillairet, Chris Judge, Generic simplicity of ellipses. J. Spectr. Theory 16 (2026), no. 3, pp. 875–915

DOI 10.4171/JST/622