Inverse Nodal Problems
Spectral Theory
2009-11-13 v1 Mathematical Physics
math.MP
Abstract
It is shown that nodal sequences determine the underlying manifold up to scaling within classes of rectangles with Dirichlet boundary conditions, separable two dimensional tori, two-dimensional flat Klein bottles and flat tori in two and three dimensions.
Cite
@article{arxiv.0808.1851,
title = {Inverse Nodal Problems},
author = {David Klawonn},
journal= {arXiv preprint arXiv:0808.1851},
year = {2009}
}
Comments
12 pages, 1 figure