Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond
Spectral Theory
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0409154,
title = {Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond},
author = {Dmitry Jakobson and Michael Levitin and Nikolai Nadirashvili and Iosif Polterovich},
journal= {arXiv preprint arXiv:math/0409154},
year = {2007}
}
Comments
9 figures