Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643252 | Journal of Computational and Applied Mathematics | 2006 | 15 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Dmitry Jakobson, Michael Levitin, Nikolai Nadirashvili, Iosif Polterovich,