Isospectral domains with mixed boundary conditions
Spectral Theory
2009-11-11 v2 Mathematical Physics
math.MP
Chaotic Dynamics
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.
Cite
@article{arxiv.math/0510505,
title = {Isospectral domains with mixed boundary conditions},
author = {Michael Levitin and Leonid Parnovski and Iosif Polterovich},
journal= {arXiv preprint arXiv:math/0510505},
year = {2009}
}
Comments
9 figures. Statement of Theorem 5.1 corrected