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arxiv: math/0510505 · v2 · submitted 2005-10-24 · 🧮 math.SP · math-ph· math.MP· nlin.CD

Isospectral domains with mixed boundary conditions

classification 🧮 math.SP math-phmath.MPnlin.CD
keywords boundaryconditionsdomainsisospectralmixedclassicalconstructdirichlet-neumann
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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.

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