Bounding the number of nodal domains of eigenfunctions without singular points on the square
Spectral Theory
2018-09-03 v3
Abstract
We prove Polterovich's conjecture concerning the growth of the number of nodal domains for eigenfunctions on a unit square domain, under the assumption that the eigenfunctions do not have any singular points.
Cite
@article{arxiv.1712.09457,
title = {Bounding the number of nodal domains of eigenfunctions without singular points on the square},
author = {Junehyuk Jung},
journal= {arXiv preprint arXiv:1712.09457},
year = {2018}
}
Comments
To appear Israel J. Math