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Isospectral domains with mixed boundary conditions

arXiv:math/0510505 · doi:10.1088/0305-4470/39/9/006

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