On nodal lines of Neumann eigenfunctions
Analysis of PDEs
2007-05-23 v1 Probability
Abstract
We present a new method for locating the nodal line of the second eigenfunction for the Neumann problem in a planar domain. The technique is based on the `mirror coupling' of reflected Brownian motions.
Cite
@article{arxiv.math/0203017,
title = {On nodal lines of Neumann eigenfunctions},
author = {Krzysztof Burdzy},
journal= {arXiv preprint arXiv:math/0203017},
year = {2007}
}