Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond

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Consider a bounded domain with the Dirichlet condition on a part of the boundary and the Neumann condition on its complement. Does the spectrum of the Laplacian determine uniquely which condition is imposed on which part? We present some results, conjectures and problems related to this variation on the isospectral theme.
9 figures

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Spectral Theory, 58J53, 58J50, 35P15

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http://salesiana.dossiersoluciones.com/handle/123456789/72425

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409154
 http://arxiv.org/abs/math/0409154

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arXiv