Contents Online
Mathematical Research Letters
Volume 6 (1999)
Number 4
Spectral determination of analytic bi-axisymmetric plane domains
Pages: 457 – 464
DOI: https://dx.doi.org/10.4310/MRL.1999.v6.n4.a8
Author
Abstract
Let ${\cal D}$ denote the class of bounded simply connected real analytic plane domains with the symmetry of an ellipse. We announce a proof that under generic assumptions, if $\Omega_1, \Omega_2 \in {\cal D}$ and if the Dirichlet spectra coincide, $Spec(\Omega_1) = Spec(\Omega_2)$, then $\Omega_1 = \Omega_2$ up to rigid motion.
Published 1 January 1999