Isospectral domains with mixed boundary conditions

Abstract

We construct a series of examples of planar isospectral domains with mixed Dirichlet-Neumann boundary conditions. This is a modification of a classical problem proposed by M. Kac.

9 figures. Statement of Theorem 5.1 corrected

References in corpus (2)

• Resolving isospectral "drums" by counting nodal domains
• The hybrid spectral problem and Robin boundary conditions

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